34463073120 has 192 divisors, whose sum is σ = 124185954816. Its totient is φ = 7869726720.

The previous prime is 34463073091. The next prime is 34463073137. The reversal of 34463073120 is 2137036443.

It is a congruent number.

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, 3984000 + ... + 3992640.

It is an arithmetic number, because the mean of its divisors is an integer number (646801848).

Almost surely, 2^34463073120 is an apocalyptic number.

34463073120 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 34463073120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62092977408).

34463073120 is an abundant number, since it is smaller than the sum of its proper divisors (89722881696).

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

34463073120 is a wasteful number, since it uses less digits than its factorization.

34463073120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9853 (or 9845 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The spelling of 34463073120 in words is "thirty-four billion, four hundred sixty-three million, seventy-three thousand, one hundred twenty".