34077153200 has 60 divisors (see below), whose sum is σ = 81901763160. Its totient is φ = 13625633280.

The previous prime is 34077153179. The next prime is 34077153233. The reversal of 34077153200 is 235177043.

It is a super-2 number, since 2×34077153200² (a number of 22 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 1127891 + ... + 1157709.

It is an arithmetic number, because the mean of its divisors is an integer number (1365029386).

Almost surely, 2^34077153200 is an apocalyptic number.

It is an amenable number.

34077153200 is an abundant number, since it is smaller than the sum of its proper divisors (47824609960).

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

34077153200 is a wasteful number, since it uses less digits than its factorization.

34077153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32694 (or 32683 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The spelling of 34077153200 in words is "thirty-four billion, seventy-seven million, one hundred fifty-three thousand, two hundred".