34801684506 has 20 divisors (see below), whose sum is σ = 77981552682. Its totient is φ = 11600561448.

The previous prime is 34801684499. The next prime is 34801684513. The reversal of 34801684506 is 60548610843.

34801684506 is a `hidden beast` number, since 3 + 4 + 80 + 1 + 68 + 4 + 506 = 666.

It is an interprime number because it is at equal distance from previous prime (34801684499) and next prime (34801684513).

It can be written as a sum of positive squares in only one way, i.e., 32884558281 + 1917126225 = 181341^2 + 43785^2 .

It is a super-2 number, since 2×34801684506² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 107412445 + ... + 107412768.

Almost surely, 2^34801684506 is an apocalyptic number.

34801684506 is an abundant number, since it is smaller than the sum of its proper divisors (43179868176).

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

34801684506 is a wasteful number, since it uses less digits than its factorization.

34801684506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214825227 (or 214825218 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 34801684506 in words is "thirty-four billion, eight hundred one million, six hundred eighty-four thousand, five hundred six".