3140400400 has 30 divisors (see below), whose sum is σ = 7544812922. Its totient is φ = 1256160000.

The previous prime is 3140400379. The next prime is 3140400421. The reversal of 3140400400 is 40040413.

3140400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3140400379) and next prime (3140400421).

It can be written as a sum of positive squares in 3 ways, for example, as 416813056 + 2723587344 = 20416^2 + 52188^2 .

It is a super-2 number, since 2×3140400400² = 19724229344640320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 3925101 + ... + 3925900.

Almost surely, 2^3140400400 is an apocalyptic number.

It is an amenable number.

3140400400 is an abundant number, since it is smaller than the sum of its proper divisors (4404412522).

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

3140400400 is a wasteful number, since it uses less digits than its factorization.

3140400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7851019 (or 7851008 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3140400400 is about 56039.2755128044. The cubic root of 3140400400 is about 1464.4065902651.

Adding to 3140400400 its reverse (40040413), we get a palindrome (3180440813).

The spelling of 3140400400 in words is "three billion, one hundred forty million, four hundred thousand, four hundred".