3903956352 has 192 divisors, whose sum is σ = 11716482960. Its totient is φ = 1293926400.

The previous prime is 3903956341. The next prime is 3903956437. The reversal of 3903956352 is 2536593093.

3903956352 is a `hidden beast` number, since 3 + 9 + 0 + 3 + 9 + 5 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3903956352² = 30481750396642295808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3903956298 and 3903956307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9735352 + ... + 9735752.

Almost surely, 2^3903956352 is an apocalyptic number.

3903956352 is a gapful number since it is divisible by the number (32) 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 3903956352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5858241480).

3903956352 is an abundant number, since it is smaller than the sum of its proper divisors (7812526608).

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

3903956352 is an equidigital number, since it uses as much as digits as its factorization.

3903956352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 656100, while the sum is 45.

The square root of 3903956352 is about 62481.6481216685. The cubic root of 3903956352 is about 1574.5930050418.

The spelling of 3903956352 in words is "three billion, nine hundred three million, nine hundred fifty-six thousand, three hundred fifty-two".