3890325722976 has 768 divisors, whose sum is σ = 14596562534400. Its totient is φ = 986886996480.

The previous prime is 3890325722863. The next prime is 3890325722993. The reversal of 3890325722976 is 6792275230983.

3890325722976 is a `hidden beast` number, since 3 + 8 + 9 + 0 + 32 + 572 + 29 + 7 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 346139565 + ... + 346150803.

It is an arithmetic number, because the mean of its divisors is an integer number (19005940800).

Almost surely, 2^{3890325722976} is an apocalyptic number.

3890325722976 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 3890325722976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7298281267200).

3890325722976 is an abundant number, since it is smaller than the sum of its proper divisors (10706236811424).

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

3890325722976 is a wasteful number, since it uses less digits than its factorization.

3890325722976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11341 (or 11305 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 3890325722976 in words is "three trillion, eight hundred ninety billion, three hundred twenty-five million, seven hundred twenty-two thousand, nine hundred seventy-six".