3890860925952 has 1056 divisors, whose sum is σ = 14179255759872. Its totient is φ = 916070400000.

The previous prime is 3890860925891. The next prime is 3890860925969. The reversal of 3890860925952 is 2595290680983.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15501437827 + ... + 15501438077.

Almost surely, 2^{3890860925952} is an apocalyptic number.

3890860925952 is a gapful number since it is divisible by the number (32) 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 3890860925952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7089627879936).

3890860925952 is an abundant number, since it is smaller than the sum of its proper divisors (10288394833920).

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

3890860925952 is a wasteful number, since it uses less digits than its factorization.

3890860925952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 66.

The spelling of 3890860925952 in words is "three trillion, eight hundred ninety billion, eight hundred sixty million, nine hundred twenty-five thousand, nine hundred fifty-two".