3902977872000 has 1280 divisors, whose sum is σ = 15754000204800. Its totient is φ = 954021888000.

The previous prime is 3902977871993. The next prime is 3902977872007. The reversal of 3902977872000 is 2787792093.

It is an interprime number because it is at equal distance from previous prime (3902977871993) and next prime (3902977872007).

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

It is not an unprimeable number, because it can be changed into a prime (3902977872007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 763341444 + ... + 763346556.

It is an arithmetic number, because the mean of its divisors is an integer number (12307812660).

Almost surely, 2^{3902977872000} is an apocalyptic number.

3902977872000 is a gapful number since it is divisible by the number (30) 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 3902977872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7877000102400).

3902977872000 is an abundant number, since it is smaller than the sum of its proper divisors (11851022332800).

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

3902977872000 is a wasteful number, since it uses less digits than its factorization.

3902977872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5204 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 3902977872000 in words is "three trillion, nine hundred two billion, nine hundred seventy-seven million, eight hundred seventy-two thousand".