34450790400 has 1008 divisors, whose sum is σ = 139860892080. Its totient is φ = 8360755200.

The previous prime is 34450790299. The next prime is 34450790431. The reversal of 34450790400 is 409705443.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 485222365 + ... + 485222435.

It is an arithmetic number, because the mean of its divisors is an integer number (138750885).

Almost surely, 2^34450790400 is an apocalyptic number.

34450790400 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 34450790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69930446040).

34450790400 is an abundant number, since it is smaller than the sum of its proper divisors (105410101680).

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

34450790400 is an equidigital number, since it uses as much as digits as its factorization.

34450790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 34450790400 in words is "thirty-four billion, four hundred fifty million, seven hundred ninety thousand, four hundred".