34045554400 has 144 divisors (see below), whose sum is σ = 97644406608. Its totient is φ = 11427840000.

The previous prime is 34045554383. The next prime is 34045554443. The reversal of 34045554400 is 445554043.

It is a congruent number.

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, 34401 + ... + 263200.

It is an arithmetic number, because the mean of its divisors is an integer number (678086157).

Almost surely, 2^34045554400 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 34045554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48822203304).

34045554400 is an abundant number, since it is smaller than the sum of its proper divisors (63598852208).

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

34045554400 is a wasteful number, since it uses less digits than its factorization.

34045554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297645 (or 297632 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 34.

The spelling of 34045554400 in words is "thirty-four billion, forty-five million, five hundred fifty-four thousand, four hundred".