34021522400 has 72 divisors (see below), whose sum is σ = 83418176520. Its totient is φ = 13549109760.

The previous prime is 34021522361. The next prime is 34021522411. The reversal of 34021522400 is 422512043.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90347 + ... + 276053.

It is an arithmetic number, because the mean of its divisors is an integer number (1158585785).

Almost surely, 2^34021522400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34021522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41709088260).

34021522400 is an abundant number, since it is smaller than the sum of its proper divisors (49396654120).

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

34021522400 is a wasteful number, since it uses less digits than its factorization.

34021522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185956 (or 185943 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The spelling of 34021522400 in words is "thirty-four billion, twenty-one million, five hundred twenty-two thousand, four hundred".