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3690364320 = 253351316521
BaseRepresentation
bin1101101111110110…
…0111110110100000
3100112012001221011000
43123331213312200
530024213124240
61410105152000
7160310402436
oct33375476640
910465057130
103690364320
111624129375
1286ba8b600
1346a72bb36
14270192d56
15168eb1430
hexdbf67da0

3690364320 has 192 divisors, whose sum is σ = 13016868480. Its totient is φ = 976435200.

The previous prime is 3690364297. The next prime is 3690364399. The reversal of 3690364320 is 234630963.

3690364320 is a `hidden beast` number, since 3 + 6 + 9 + 0 + 3 + 643 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562660 + ... + 569180.

It is an arithmetic number, because the mean of its divisors is an integer number (67796190).

Almost surely, 23690364320 is an apocalyptic number.

3690364320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3690364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508434240).

3690364320 is an abundant number, since it is smaller than the sum of its proper divisors (9326504160).

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

3690364320 is a wasteful number, since it uses less digits than its factorization.

3690364320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6676 (or 6662 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 3690364320 is about 60748.3688669910. The cubic root of 3690364320 is about 1545.3365653797.

The spelling of 3690364320 in words is "three billion, six hundred ninety million, three hundred sixty-four thousand, three hundred twenty".