3414768400 has 30 divisors (see below), whose sum is σ = 8203982042. Its totient is φ = 1365907200.

The previous prime is 3414768341. The next prime is 3414768419. The reversal of 3414768400 is 48674143.

It can be written as a sum of positive squares in 3 ways, for example, as 2304 + 3414766096 = 48^2 + 58436^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3414768400.

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, 4268061 + ... + 4268860.

Almost surely, 2^3414768400 is an apocalyptic number.

It is an amenable number.

3414768400 is an abundant number, since it is smaller than the sum of its proper divisors (4789213642).

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

3414768400 is a wasteful number, since it uses less digits than its factorization.

3414768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8536939 (or 8536928 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 3414768400 is about 58436.0197138717. The cubic root of 3414768400 is about 1505.8686243698.

The spelling of 3414768400 in words is "three billion, four hundred fourteen million, seven hundred sixty-eight thousand, four hundred".