3691042972128 has 192 divisors, whose sum is σ = 10813128560640. Its totient is φ = 1224915955200.

The previous prime is 3691042972117. The next prime is 3691042972157. The reversal of 3691042972128 is 8212792401963.

3691042972128 is a `hidden beast` number, since 3 + 6 + 91 + 0 + 429 + 7 + 2 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373923033 + ... + 373932903.

It is an arithmetic number, because the mean of its divisors is an integer number (56318377920).

Almost surely, 2^{3691042972128} 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 3691042972128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5406564280320).

3691042972128 is an abundant number, since it is smaller than the sum of its proper divisors (7122085588512).

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

3691042972128 is a wasteful number, since it uses less digits than its factorization.

3691042972128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11758 (or 11744 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 3691042972128 in words is "three trillion, six hundred ninety-one billion, forty-two million, nine hundred seventy-two thousand, one hundred twenty-eight".