34409318400 has 360 divisors, whose sum is σ = 127460142810. Its totient is φ = 9174712320.

The previous prime is 34409318399. The next prime is 34409318453. The reversal of 34409318400 is 481390443.

It can be written as a sum of positive squares in 3 ways, for example, as 33234748416 + 1174569984 = 182304^2 + 34272^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4143052 + ... + 4151348.

Almost surely, 2^34409318400 is an apocalyptic number.

34409318400 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 34409318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63730071405).

34409318400 is an abundant number, since it is smaller than the sum of its proper divisors (93050824410).

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

34409318400 is an equidigital number, since it uses as much as digits as its factorization.

34409318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8341 (or 8307 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 34409318400 in words is "thirty-four billion, four hundred nine million, three hundred eighteen thousand, four hundred".