34704230400 has 1296 divisors, whose sum is σ = 152387316900. Its totient is φ = 7514357760.

The previous prime is 34704230377. The next prime is 34704230413. The reversal of 34704230400 is 403240743.

It can be written as a sum of positive squares in 6 ways, for example, as 16821052416 + 17883177984 = 129696^2 + 133728^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 654796774 + ... + 654796826.

Almost surely, 2^34704230400 is an apocalyptic number.

34704230400 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 34704230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76193658450).

34704230400 is an abundant number, since it is smaller than the sum of its proper divisors (117683086500).

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

34704230400 is a wasteful number, since it uses less digits than its factorization.

34704230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The spelling of 34704230400 in words is "thirty-four billion, seven hundred four million, two hundred thirty thousand, four hundred".