34449830400 has 240 divisors, whose sum is σ = 115956935424. Its totient is φ = 9012756480.

The previous prime is 34449830383. The next prime is 34449830413. The reversal of 34449830400 is 403894443.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2026737 + ... + 2043663.

Almost surely, 2^34449830400 is an apocalyptic number.

34449830400 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 34449830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57978467712).

34449830400 is an abundant number, since it is smaller than the sum of its proper divisors (81507105024).

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

34449830400 is a wasteful number, since it uses less digits than its factorization.

34449830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17011 (or 16990 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 34449830400 in words is "thirty-four billion, four hundred forty-nine million, eight hundred thirty thousand, four hundred".