3903761949696 has 1056 divisors, whose sum is σ = 13748136729600. Its totient is φ = 1043422248960.

The previous prime is 3903761949559. The next prime is 3903761949707. The reversal of 3903761949696 is 6969491673093.

3903761949696 is a `hidden beast` number, since 3 + 9 + 0 + 37 + 6 + 19 + 496 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9015616296 + ... + 9015616728.

Almost surely, 2^{3903761949696} is an apocalyptic number.

3903761949696 is a gapful number since it is divisible by the number (36) 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 3903761949696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874068364800).

3903761949696 is an abundant number, since it is smaller than the sum of its proper divisors (9844374779904).

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

3903761949696 is a wasteful number, since it uses less digits than its factorization.

3903761949696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 357128352, while the sum is 72.

The spelling of 3903761949696 in words is "three trillion, nine hundred three billion, seven hundred sixty-one million, nine hundred forty-nine thousand, six hundred ninety-six".