34466325120 has 512 divisors, whose sum is σ = 125538336000. Its totient is φ = 8934064128.

The previous prime is 34466325073. The next prime is 34466325139. The reversal of 34466325120 is 2152366443.

34466325120 is a `hidden beast` number, since 3 + 4 + 4 + 6 + 632 + 5 + 12 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 112268007 + ... + 112268313.

Almost surely, 2^34466325120 is an apocalyptic number.

34466325120 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 34466325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62769168000).

34466325120 is an abundant number, since it is smaller than the sum of its proper divisors (91072010880).

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

34466325120 is a wasteful number, since it uses less digits than its factorization.

34466325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 34466325120 in words is "thirty-four billion, four hundred sixty-six million, three hundred twenty-five thousand, one hundred twenty".