3890678186400 has 144 divisors (see below), whose sum is σ = 12816738363744. Its totient is φ = 1025013959680.

The previous prime is 3890678186383. The next prime is 3890678186411. The reversal of 3890678186400 is 46818760983.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 9566559 + ... + 9964958.

It is an arithmetic number, because the mean of its divisors is an integer number (89005127526).

Almost surely, 2^{3890678186400} is an apocalyptic number.

3890678186400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3890678186400 is an abundant number, since it is smaller than the sum of its proper divisors (8926060177344).

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

3890678186400 is a wasteful number, since it uses less digits than its factorization.

3890678186400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19531623 (or 19531610 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 3890678186400 in words is "three trillion, eight hundred ninety billion, six hundred seventy-eight million, one hundred eighty-six thousand, four hundred".