3407866560 has 672 divisors, whose sum is σ = 14442155520. Its totient is φ = 740855808.

The previous prime is 3407866541. The next prime is 3407866571. The reversal of 3407866560 is 656687043.

3407866560 is a `hidden beast` number, since 3 + 4 + 0 + 7 + 86 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3407866560² = 23227108981532467200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50863647 + ... + 50863713.

Almost surely, 2^3407866560 is an apocalyptic number.

3407866560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221077760).

3407866560 is an abundant number, since it is smaller than the sum of its proper divisors (11034288960).

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

3407866560 is a wasteful number, since it uses less digits than its factorization.

3407866560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3407866560 is about 58376.9351713500. The cubic root of 3407866560 is about 1504.8533994059.

The spelling of 3407866560 in words is "three billion, four hundred seven million, eight hundred sixty-six thousand, five hundred sixty".