34120465920 has 560 divisors, whose sum is σ = 125589372480. Its totient is φ = 8882307072.

The previous prime is 34120465903. The next prime is 34120465969. The reversal of 34120465920 is 2956402143.

It is a happy number.

34120465920 is a `hidden beast` number, since 3 + 4 + 1 + 20 + 46 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 87713086 + ... + 87713474.

Almost surely, 2^34120465920 is an apocalyptic number.

34120465920 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 34120465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62794686240).

34120465920 is an abundant number, since it is smaller than the sum of its proper divisors (91468906560).

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

34120465920 is an frugal number, since it uses more digits than its factorization.

34120465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 34120465920 in words is "thirty-four billion, one hundred twenty million, four hundred sixty-five thousand, nine hundred twenty".