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3435780864 = 28319722709
BaseRepresentation
bin1100110011001001…
…1101101100000000
322212110000202022010
43030302131230000
524014024441424
61324532412520
7151066440555
oct31462355400
98773022263
103435780864
11150345501a
127ba777140
13429a73139
14248442a2c
15151974229
hexccc9db00

3435780864 has 72 divisors (see below), whose sum is σ = 9191009520. Its totient is φ = 1139396608.

The previous prime is 3435780841. The next prime is 3435780877. The reversal of 3435780864 is 4680875343.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139942 + ... + 162650.

It is an arithmetic number, because the mean of its divisors is an integer number (127652910).

Almost surely, 23435780864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3435780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595504760).

3435780864 is an abundant number, since it is smaller than the sum of its proper divisors (5755228656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3435780864 is a wasteful number, since it uses less digits than its factorization.

3435780864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22925 (or 22911 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The square root of 3435780864 is about 58615.5343232492. The cubic root of 3435780864 is about 1508.9510519760.

The spelling of 3435780864 in words is "three billion, four hundred thirty-five million, seven hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 197 256 384 394 591 768 788 1182 1576 2364 3152 4728 6304 9456 12608 18912 22709 25216 37824 45418 50432 68127 75648 90836 136254 151296 181672 272508 363344 545016 726688 1090032 1453376 2180064 2906752 4360128 4473673 5813504 8720256 8947346 13421019 17440512 17894692 26842038 35789384 53684076 71578768 107368152 143157536 214736304 286315072 429472608 572630144 858945216 1145260288 1717890432 3435780864