3407344400 has 60 divisors (see below), whose sum is σ = 8324950800. Its totient is φ = 1339827840.

The previous prime is 3407344397. The next prime is 3407344411. The reversal of 3407344400 is 44437043.

3407344400 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 2×3407344400² = 23219991720422720000, which contains 22 as substring.

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, 48590 + ... + 95789.

It is an arithmetic number, because the mean of its divisors is an integer number (138749180).

Almost surely, 2^3407344400 is an apocalyptic number.

It is an amenable number.

3407344400 is an abundant number, since it is smaller than the sum of its proper divisors (4917606400).

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

3407344400 is a wasteful number, since it uses less digits than its factorization.

3407344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144456 (or 144445 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 29.

The square root of 3407344400 is about 58372.4626857562. The cubic root of 3407344400 is about 1504.7765366167.

The spelling of 3407344400 in words is "three billion, four hundred seven million, three hundred forty-four thousand, four hundred".