34392937320 has 288 divisors, whose sum is σ = 137676169800. Its totient is φ = 7398752256.

The previous prime is 34392937283. The next prime is 34392937373. The reversal of 34392937320 is 2373929343.

34392937320 is a `hidden beast` number, since 3 + 4 + 39 + 293 + 7 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22823353476 + 11569583844 = 151074^2 + 107562^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 242536 + ... + 357224.

Almost surely, 2^34392937320 is an apocalyptic number.

34392937320 is a gapful number since it is divisible by the number (30) 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 34392937320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68838084900).

34392937320 is an abundant number, since it is smaller than the sum of its proper divisors (103283232480).

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

34392937320 is a wasteful number, since it uses less digits than its factorization.

34392937320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114737 (or 114723 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 34392937320 in words is "thirty-four billion, three hundred ninety-two million, nine hundred thirty-seven thousand, three hundred twenty".