3900736268800 has 240 divisors, whose sum is σ = 11425874232960. Its totient is φ = 1291277352960.

The previous prime is 3900736268791. The next prime is 3900736268873. The reversal of 3900736268800 is 88626370093.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1847797 + ... + 3349003.

It is an arithmetic number, because the mean of its divisors is an integer number (47607809304).

Almost surely, 2^{3900736268800} 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 3900736268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712937116480).

3900736268800 is an abundant number, since it is smaller than the sum of its proper divisors (7525137964160).

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

3900736268800 is a wasteful number, since it uses less digits than its factorization.

3900736268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501271 (or 1501250 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 3900736268800 in words is "three trillion, nine hundred billion, seven hundred thirty-six million, two hundred sixty-eight thousand, eight hundred".