3460914720 has 72 divisors (see below), whose sum is σ = 11810376396. Its totient is φ = 922910208.

The previous prime is 3460914703. The next prime is 3460914817. The reversal of 3460914720 is 274190643.

3460914720 is a `hidden beast` number, since 3 + 4 + 609 + 1 + 47 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3425058576 + 35856144 = 58524^2 + 5988^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3460914720² = 23955861398225356800, 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, 1200267 + ... + 1203146.

Almost surely, 2^3460914720 is an apocalyptic number.

3460914720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3460914720 is an abundant number, since it is smaller than the sum of its proper divisors (8349461676).

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

3460914720 is a wasteful number, since it uses less digits than its factorization.

3460914720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403434 (or 2403423 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3460914720 is about 58829.5395188506. The cubic root of 3460914720 is about 1512.6216055039.

The spelling of 3460914720 in words is "three billion, four hundred sixty million, nine hundred fourteen thousand, seven hundred twenty".