34249444800 has 336 divisors, whose sum is σ = 116505971712. Its totient is φ = 8799436800.

The previous prime is 34249444799. The next prime is 34249444811. The reversal of 34249444800 is 844494243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50145259 + ... + 50145941.

Almost surely, 2^34249444800 is an apocalyptic number.

34249444800 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 34249444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58252985856).

34249444800 is an abundant number, since it is smaller than the sum of its proper divisors (82256526912).

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

34249444800 is a wasteful number, since it uses less digits than its factorization.

34249444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 34249444800 in words is "thirty-four billion, two hundred forty-nine million, four hundred forty-four thousand, eight hundred".