3400462400 has 84 divisors (see below), whose sum is σ = 8859525588. Its totient is φ = 1280163840.

The previous prime is 3400462399. The next prime is 3400462423. The reversal of 3400462400 is 42640043.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 253701184 + 3146761216 = 15928^2 + 56096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35309 + ... + 89708.

Almost surely, 2^3400462400 is an apocalyptic number.

It is an amenable number.

3400462400 is an abundant number, since it is smaller than the sum of its proper divisors (5459063188).

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

3400462400 is a wasteful number, since it uses less digits than its factorization.

3400462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125056 (or 125041 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3400462400 is about 58313.4838609391. The cubic root of 3400462400 is about 1503.7627606033.

The spelling of 3400462400 in words is "three billion, four hundred million, four hundred sixty-two thousand, four hundred".