34573842400 has 72 divisors (see below), whose sum is σ = 84891613464. Its totient is φ = 13749542400.

The previous prime is 34573842389. The next prime is 34573842437. The reversal of 34573842400 is 424837543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13495 + ... + 263305.

It is an arithmetic number, because the mean of its divisors is an integer number (1179050187).

Almost surely, 2^34573842400 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 34573842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42445806732).

34573842400 is an abundant number, since it is smaller than the sum of its proper divisors (50317771064).

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

34573842400 is a wasteful number, since it uses less digits than its factorization.

34573842400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250004 (or 249991 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 34573842400 in words is "thirty-four billion, five hundred seventy-three million, eight hundred forty-two thousand, four hundred".