34100512420 has 36 divisors (see below), whose sum is σ = 77543362260. Its totient is φ = 12590957184.

The previous prime is 34100512417. The next prime is 34100512423. The reversal of 34100512420 is 2421500143.

It is an interprime number because it is at equal distance from previous prime (34100512417) and next prime (34100512423).

It can be written as a sum of positive squares in 6 ways, for example, as 15801998436 + 18298513984 = 125706^2 + 135272^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34100512391 and 34100512400.

It is not an unprimeable number, because it can be changed into a prime (34100512423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5041075 + ... + 5047834.

It is an arithmetic number, because the mean of its divisors is an integer number (2153982285).

Almost surely, 2^34100512420 is an apocalyptic number.

It is an amenable number.

34100512420 is an abundant number, since it is smaller than the sum of its proper divisors (43442849840).

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

34100512420 is a wasteful number, since it uses less digits than its factorization.

34100512420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10088944 (or 10088929 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 34100512420 in words is "thirty-four billion, one hundred million, five hundred twelve thousand, four hundred twenty".