34305972120 has 1152 divisors, whose sum is σ = 150580684800. Its totient is φ = 6960328704.

The previous prime is 34305972119. The next prime is 34305972133. The reversal of 34305972120 is 2127950343.

34305972120 is a `hidden beast` number, since 3 + 43 + 0 + 597 + 2 + 1 + 20 = 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 287 ways as a sum of consecutive naturals, for example, 153838329 + ... + 153838551.

It is an arithmetic number, because the mean of its divisors is an integer number (130712400).

Almost surely, 2^34305972120 is an apocalyptic number.

34305972120 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 34305972120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75290342400).

34305972120 is an abundant number, since it is smaller than the sum of its proper divisors (116274712680).

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

34305972120 is a wasteful number, since it uses less digits than its factorization.

34305972120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 34305972120 in words is "thirty-four billion, three hundred five million, nine hundred seventy-two thousand, one hundred twenty".