34923927456 has 144 divisors (see below), whose sum is σ = 108906819840. Its totient is φ = 10527989760.

The previous prime is 34923927443. The next prime is 34923927463. The reversal of 34923927456 is 65472932943.

34923927456 is a `hidden beast` number, since 3 + 492 + 39 + 2 + 74 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 582865 + ... + 639983.

It is an arithmetic number, because the mean of its divisors is an integer number (756297360).

Almost surely, 2^34923927456 is an apocalyptic number.

34923927456 is a gapful number since it is divisible by the number (36) 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 34923927456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54453409920).

34923927456 is an abundant number, since it is smaller than the sum of its proper divisors (73982892384).

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

34923927456 is a wasteful number, since it uses less digits than its factorization.

34923927456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57339 (or 57328 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 34923927456 in words is "thirty-four billion, nine hundred twenty-three million, nine hundred twenty-seven thousand, four hundred fifty-six".