34013620305 has 64 divisors (see below), whose sum is σ = 69150758400. Its totient is φ = 15539247360.

The previous prime is 34013620261. The next prime is 34013620307. The reversal of 34013620305 is 50302631043.

It is a happy number.

34013620305 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 3 + 620 + 30 + 5 = 666.

It is not a de Polignac number, because 34013620305 - 2¹¹ = 34013618257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34013620307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1604475 + ... + 1625535.

It is an arithmetic number, because the mean of its divisors is an integer number (1080480600).

Almost surely, 2^34013620305 is an apocalyptic number.

34013620305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34013620305 is an abundant number, since it is smaller than the sum of its proper divisors (35137138095).

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

34013620305 is a wasteful number, since it uses less digits than its factorization.

34013620305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22791 (or 22785 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 34013620305 in words is "thirty-four billion, thirteen million, six hundred twenty thousand, three hundred five".