34812395460 has 240 divisors, whose sum is σ = 115171943040. Its totient is φ = 8778170880.

The previous prime is 34812395447. The next prime is 34812395509. The reversal of 34812395460 is 6459321843.

34812395460 is a `hidden beast` number, since 3 + 4 + 81 + 23 + 9 + 546 + 0 = 666.

It is a super-2 number, since 2×34812395460² (a number of 22 digits) 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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31733632 + ... + 31734728.

It is an arithmetic number, because the mean of its divisors is an integer number (479883096).

Almost surely, 2^34812395460 is an apocalyptic number.

34812395460 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 34812395460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57585971520).

34812395460 is an abundant number, since it is smaller than the sum of its proper divisors (80359547580).

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

34812395460 is a wasteful number, since it uses less digits than its factorization.

34812395460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 34812395460 in words is "thirty-four billion, eight hundred twelve million, three hundred ninety-five thousand, four hundred sixty".