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3381661696 = 212732983
BaseRepresentation
bin1100100110010000…
…0001000000000000
322201200012012202111
43021210001000000
523411201133241
61315320425104
7146541436000
oct31144010000
98650165674
103381661696
111485950536
127a4618194
1341b7a4b6a
14241196000
1514bd33c81
hexc9901000

3381661696 has 208 divisors, whose sum is σ = 8256528000. Its totient is φ = 1382449152.

The previous prime is 3381661693. The next prime is 3381661739. The reversal of 3381661696 is 6961661833.

It is a super-2 number, since 2×33816616962 = 22871271652387192832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (3381661693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40742871 + ... + 40742953.

Almost surely, 23381661696 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 3381661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128264000).

3381661696 is an abundant number, since it is smaller than the sum of its proper divisors (4874866304).

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

3381661696 is an frugal number, since it uses more digits than its factorization.

3381661696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 121 counting only the distinct ones).

The product of its digits is 839808, while the sum is 49.

The square root of 3381661696 is about 58152.0566790204. The cubic root of 3381661696 is about 1500.9862692990.

The spelling of 3381661696 in words is "three billion, three hundred eighty-one million, six hundred sixty-one thousand, six hundred ninety-six".