3901332771072 has 180 divisors, whose sum is σ = 12690620826576. Its totient is φ = 1182221982720.

The previous prime is 3901332771053. The next prime is 3901332771073. The reversal of 3901332771072 is 2701772331093.

3901332771072 is a `hidden beast` number, since 390 + 133 + 27 + 7 + 107 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (3901332771073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8323858 + ... + 8780049.

Almost surely, 2^{3901332771072} is an apocalyptic number.

3901332771072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3901332771072 is an abundant number, since it is smaller than the sum of its proper divisors (8789288055504).

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

3901332771072 is a wasteful number, since it uses less digits than its factorization.

3901332771072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17103946 (or 17103923 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The spelling of 3901332771072 in words is "three trillion, nine hundred one billion, three hundred thirty-two million, seven hundred seventy-one thousand, seventy-two".