3901629307968 has 112 divisors (see below), whose sum is σ = 13108648773760. Its totient is φ = 1114751227392.

The previous prime is 3901629307931. The next prime is 3901629308021. The reversal of 3901629307968 is 8697039261093.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3901629307968² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161265571 + ... + 161289762.

Almost surely, 2^{3901629307968} is an apocalyptic number.

It is an amenable number.

3901629307968 is an abundant number, since it is smaller than the sum of its proper divisors (9207019465792).

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

3901629307968 is a wasteful number, since it uses less digits than its factorization.

3901629307968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322555361 (or 322555345 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 3901629307968 in words is "three trillion, nine hundred one billion, six hundred twenty-nine million, three hundred seven thousand, nine hundred sixty-eight".