34189808400 has 1440 divisors, whose sum is σ = 150921590400. Its totient is φ = 7390310400.

The previous prime is 34189808399. The next prime is 34189808431. The reversal of 34189808400 is 480898143.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1799463591 + ... + 1799463609.

It is an arithmetic number, because the mean of its divisors is an integer number (104806660).

Almost surely, 2^34189808400 is an apocalyptic number.

34189808400 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 34189808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75460795200).

34189808400 is an abundant number, since it is smaller than the sum of its proper divisors (116731782000).

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

34189808400 is a wasteful number, since it uses less digits than its factorization.

34189808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 34189808400 in words is "thirty-four billion, one hundred eighty-nine million, eight hundred eight thousand, four hundred".