34326097920 has 416 divisors, whose sum is σ = 127386432000. Its totient is φ = 8752398336.

The previous prime is 34326097919. The next prime is 34326097987. The reversal of 34326097920 is 2979062343.

34326097920 is a `hidden beast` number, since 3 + 4 + 32 + 609 + 7 + 9 + 2 + 0 = 666.

It is a super-4 number, since 4×34326097920⁴ (a number of 43 digits) contains 4444 as substring.

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 31 ways as a sum of consecutive naturals, for example, 12716731 + ... + 12719429.

Almost surely, 2^34326097920 is an apocalyptic number.

34326097920 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 34326097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63693216000).

34326097920 is an abundant number, since it is smaller than the sum of its proper divisors (93060334080).

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

34326097920 is a wasteful number, since it uses less digits than its factorization.

34326097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 34326097920 in words is "thirty-four billion, three hundred twenty-six million, ninety-seven thousand, nine hundred twenty".