3900576287504 has 240 divisors, whose sum is σ = 8667088114608. Its totient is φ = 1690210271232.

The previous prime is 3900576287497. The next prime is 3900576287537. The reversal of 3900576287504 is 4057826750093.

It can be written as a sum of positive squares in 8 ways, for example, as 1548401945104 + 2352174342400 = 1244348^2 + 1533680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3900576287504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6760097264 + ... + 6760097840.

Almost surely, 2^{3900576287504} 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 3900576287504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333544057304).

3900576287504 is an abundant number, since it is smaller than the sum of its proper divisors (4766511827104).

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

3900576287504 is a wasteful number, since it uses less digits than its factorization.

3900576287504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 56.

The spelling of 3900576287504 in words is "three trillion, nine hundred billion, five hundred seventy-six million, two hundred eighty-seven thousand, five hundred four".