3407404608 has 84 divisors (see below), whose sum is σ = 9775141740. Its totient is φ = 1134821376.

The previous prime is 3407404591. The next prime is 3407404631. The reversal of 3407404608 is 8064047043.

3407404608 is a `hidden beast` number, since 3 + 4 + 0 + 7 + 40 + 4 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1526621184 + 1880783424 = 39072^2 + 43368^2 .

It is a super-2 number, since 2×3407404608² = 23220812325239267328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1021888 + ... + 1025216.

It is an arithmetic number, because the mean of its divisors is an integer number (116370735).

Almost surely, 2^3407404608 is an apocalyptic number.

It is an amenable number.

3407404608 is an abundant number, since it is smaller than the sum of its proper divisors (6367737132).

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

3407404608 is a wasteful number, since it uses less digits than its factorization.

3407404608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3407404608 is about 58372.9784061084. The cubic root of 3407404608 is about 1504.7853997313.

The spelling of 3407404608 in words is "three billion, four hundred seven million, four hundred four thousand, six hundred eight".