3456634680 has 192 divisors, whose sum is σ = 11507520960. Its totient is φ = 899610624.

The previous prime is 3456634639. The next prime is 3456634697. The reversal of 3456634680 is 864366543.

3456634680 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 634 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2706202 + ... + 2707478.

It is an arithmetic number, because the mean of its divisors is an integer number (59935005).

Almost surely, 2^3456634680 is an apocalyptic number.

3456634680 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 3456634680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5753760480).

3456634680 is an abundant number, since it is smaller than the sum of its proper divisors (8050886280).

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

3456634680 is a wasteful number, since it uses less digits than its factorization.

3456634680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 3456634680 is about 58793.1516420067. The cubic root of 3456634680 is about 1511.9978059093.

The spelling of 3456634680 in words is "three billion, four hundred fifty-six million, six hundred thirty-four thousand, six hundred eighty".