34731606456 has 24 divisors (see below), whose sum is σ = 94064767680. Its totient is φ = 11577202128.

The previous prime is 34731606449. The next prime is 34731606541. The reversal of 34731606456 is 65460613743.

34731606456 is a `hidden beast` number, since 3 + 4 + 7 + 31 + 606 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 241191640 + ... + 241191783.

It is an arithmetic number, because the mean of its divisors is an integer number (3919365320).

Almost surely, 2^34731606456 is an apocalyptic number.

34731606456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34731606456 is an abundant number, since it is smaller than the sum of its proper divisors (59333161224).

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

34731606456 is a wasteful number, since it uses less digits than its factorization.

34731606456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482383435 (or 482383428 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 34731606456 in words is "thirty-four billion, seven hundred thirty-one million, six hundred six thousand, four hundred fifty-six".