34242793920 has 84 divisors (see below), whose sum is σ = 117780953160. Its totient is φ = 9131410944.

The previous prime is 34242793919. The next prime is 34242793927. The reversal of 34242793920 is 2939724243.

34242793920 is a `hidden beast` number, since 342 + 4 + 279 + 39 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34242793927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5942050 + ... + 5947809.

Almost surely, 2^34242793920 is an apocalyptic number.

34242793920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34242793920 is an abundant number, since it is smaller than the sum of its proper divisors (83538159240).

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

34242793920 is a wasteful number, since it uses less digits than its factorization.

34242793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11889882 (or 11889869 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 34242793920 in words is "thirty-four billion, two hundred forty-two million, seven hundred ninety-three thousand, nine hundred twenty".