34830091720512 has 672 divisors, whose sum is σ = 120501653336064. Its totient is φ = 9857778278400.

The previous prime is 34830091720433. The next prime is 34830091720517. The reversal of 34830091720512 is 21502719003843.

It is a happy number.

34830091720512 is a `hidden beast` number, since 3 + 48 + 3 + 0 + 0 + 91 + 7 + 2 + 0 + 512 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34830091720517) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 380931633 + ... + 381023055.

It is an arithmetic number, because the mean of its divisors is an integer number (179317936512).

Almost surely, 2^{34830091720512} is an apocalyptic number.

34830091720512 is a gapful number since it is divisible by the number (32) 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 34830091720512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60250826668032).

34830091720512 is an abundant number, since it is smaller than the sum of its proper divisors (85671561615552).

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

34830091720512 is a wasteful number, since it uses less digits than its factorization.

34830091720512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91609 (or 91587 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 34830091720512 in words is "thirty-four trillion, eight hundred thirty billion, ninety-one million, seven hundred twenty thousand, five hundred twelve".