34574133792 has 192 divisors, whose sum is σ = 105799478400. Its totient is φ = 9769697280.

The previous prime is 34574133773. The next prime is 34574133817. The reversal of 34574133792 is 29733147543.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1947934 + ... + 1965602.

It is an arithmetic number, because the mean of its divisors is an integer number (551038950).

Almost surely, 2^34574133792 is an apocalyptic number.

34574133792 is a gapful number since it is divisible by the number (32) 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 34574133792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52899739200).

34574133792 is an abundant number, since it is smaller than the sum of its proper divisors (71225344608).

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

34574133792 is a wasteful number, since it uses less digits than its factorization.

34574133792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17819 (or 17811 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 48.

The spelling of 34574133792 in words is "thirty-four billion, five hundred seventy-four million, one hundred thirty-three thousand, seven hundred ninety-two".