34397812512 has 336 divisors, whose sum is σ = 122875304832. Its totient is φ = 9249085440.

The previous prime is 34397812511. The next prime is 34397812531. The reversal of 34397812512 is 21521879343.

It is a happy number.

34397812512 is a `hidden beast` number, since 3 + 4 + 397 + 8 + 1 + 251 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×34397812512² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34397812511) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2769837 + ... + 2782227.

It is an arithmetic number, because the mean of its divisors is an integer number (365700312).

Almost surely, 2^34397812512 is an apocalyptic number.

34397812512 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 34397812512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61437652416).

34397812512 is an abundant number, since it is smaller than the sum of its proper divisors (88477492320).

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

34397812512 is a wasteful number, since it uses less digits than its factorization.

34397812512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12443 (or 12420 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 34397812512 in words is "thirty-four billion, three hundred ninety-seven million, eight hundred twelve thousand, five hundred twelve".