3140890400 has 36 divisors (see below), whose sum is σ = 7667700642. Its totient is φ = 1256355840.

The previous prime is 3140890397. The next prime is 3140890421. The reversal of 3140890400 is 40980413.

3140890400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2608757776 + 532132624 = 51076^2 + 23068^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1962257 + ... + 1963856.

Almost surely, 2^3140890400 is an apocalyptic number.

It is an amenable number.

3140890400 is an abundant number, since it is smaller than the sum of its proper divisors (4526810242).

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

3140890400 is a wasteful number, since it uses less digits than its factorization.

3140890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926133 (or 3926120 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 3140890400 is about 56043.6472760294. The cubic root of 3140890400 is about 1464.4827506078.

The spelling of 3140890400 in words is "three billion, one hundred forty million, eight hundred ninety thousand, four hundred".