3787890400 has 72 divisors (see below), whose sum is σ = 10568229840. Its totient is φ = 1298703360.

The previous prime is 3787890389. The next prime is 3787890409. The reversal of 3787890400 is 40987873.

3787890400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3787890400² = 28696227364824320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3787890409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332605 + ... + 343804.

It is an arithmetic number, because the mean of its divisors is an integer number (146780970).

Almost surely, 2^3787890400 is an apocalyptic number.

It is an amenable number.

3787890400 is an abundant number, since it is smaller than the sum of its proper divisors (6780339440).

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

3787890400 is a wasteful number, since it uses less digits than its factorization.

3787890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676436 (or 676423 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The square root of 3787890400 is about 61545.8398269128. The cubic root of 3787890400 is about 1558.8313623239.

The spelling of 3787890400 in words is "three billion, seven hundred eighty-seven million, eight hundred ninety thousand, four hundred".