3901679404092 has 336 divisors, whose sum is σ = 10515132875520. Its totient is φ = 1265880109824.

The previous prime is 3901679404087. The next prime is 3901679404121. The reversal of 3901679404092 is 2904049761093.

3901679404092 is a `hidden beast` number, since 3 + 90 + 1 + 67 + 9 + 404 + 0 + 92 = 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 111 ways as a sum of consecutive naturals, for example, 6067930323 + ... + 6067930965.

It is an arithmetic number, because the mean of its divisors is an integer number (31295038320).

Almost surely, 2^{3901679404092} 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 3901679404092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257566437760).

3901679404092 is an abundant number, since it is smaller than the sum of its proper divisors (6613453471428).

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

3901679404092 is a wasteful number, since it uses less digits than its factorization.

3901679404092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 3901679404092 in words is "three trillion, nine hundred one billion, six hundred seventy-nine million, four hundred four thousand, ninety-two".