3900751242696 has 768 divisors, whose sum is σ = 14434172928000. Its totient is φ = 952734182400.

The previous prime is 3900751242683. The next prime is 3900751242721. The reversal of 3900751242696 is 6962421570093.

3900751242696 is a `hidden beast` number, since 39 + 0 + 0 + 7 + 512 + 4 + 2 + 6 + 96 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 476219961 + ... + 476228151.

It is an arithmetic number, because the mean of its divisors is an integer number (18794496000).

Almost surely, 2^{3900751242696} is an apocalyptic number.

3900751242696 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 3900751242696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217086464000).

3900751242696 is an abundant number, since it is smaller than the sum of its proper divisors (10533421685304).

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

3900751242696 is a wasteful number, since it uses less digits than its factorization.

3900751242696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8391 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3900751242696 in words is "three trillion, nine hundred billion, seven hundred fifty-one million, two hundred forty-two thousand, six hundred ninety-six".