34515465120 has 192 divisors, whose sum is σ = 120916333440. Its totient is φ = 9195577344.

The previous prime is 34515465071. The next prime is 34515465157. The reversal of 34515465120 is 2156451543.

34515465120 is a `hidden beast` number, since 3 + 45 + 1 + 546 + 51 + 20 = 666.

It is a super-2 number, since 2×34515465120² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5643184 + ... + 5649296.

It is an arithmetic number, because the mean of its divisors is an integer number (629772570).

Almost surely, 2^34515465120 is an apocalyptic number.

34515465120 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 34515465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60458166720).

34515465120 is an abundant number, since it is smaller than the sum of its proper divisors (86400868320).

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

34515465120 is a wasteful number, since it uses less digits than its factorization.

34515465120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7444 (or 7430 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 34515465120 in words is "thirty-four billion, five hundred fifteen million, four hundred sixty-five thousand, one hundred twenty".