34454035215200 has 72 divisors (see below), whose sum is σ = 84646652080032. Its totient is φ = 13693833054720.

The previous prime is 34454035215191. The next prime is 34454035215211. The reversal of 34454035215200 is 251253045443.

It is a super-2 number, since 2×34454035215200² (a number of 28 digits) contains 22 as substring.

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, 137032184 + ... + 137283383.

It is an arithmetic number, because the mean of its divisors is an integer number (1175647945556).

Almost surely, 2^{34454035215200} is an apocalyptic number.

It is an amenable number.

34454035215200 is an abundant number, since it is smaller than the sum of its proper divisors (50192616864832).

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

34454035215200 is a wasteful number, since it uses less digits than its factorization.

34454035215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274315744 (or 274315731 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

The spelling of 34454035215200 in words is "thirty-four trillion, four hundred fifty-four billion, thirty-five million, two hundred fifteen thousand, two hundred".