34912046400 has 672 divisors, whose sum is σ = 145314984960. Its totient is φ = 7127040000.

The previous prime is 34912046363. The next prime is 34912046423. The reversal of 34912046400 is 464021943.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 95 ways as a sum of consecutive naturals, for example, 21805600 + ... + 21807200.

Almost surely, 2^34912046400 is an apocalyptic number.

34912046400 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 34912046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72657492480).

34912046400 is an abundant number, since it is smaller than the sum of its proper divisors (110402938560).

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

34912046400 is a wasteful number, since it uses less digits than its factorization.

34912046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 34912046400 in words is "thirty-four billion, nine hundred twelve million, forty-six thousand, four hundred".