34573943712 has 864 divisors, whose sum is σ = 128379686400. Its totient is φ = 8079160320.

The previous prime is 34573943699. The next prime is 34573943819. The reversal of 34573943712 is 21734937543.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 143 ways as a sum of consecutive naturals, for example, 248733339 + ... + 248733477.

It is an arithmetic number, because the mean of its divisors is an integer number (148587600).

Almost surely, 2^34573943712 is an apocalyptic number.

34573943712 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 34573943712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64189843200).

34573943712 is an abundant number, since it is smaller than the sum of its proper divisors (93805742688).

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

34573943712 is a wasteful number, since it uses less digits than its factorization.

34573943712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 204 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 48.

The spelling of 34573943712 in words is "thirty-four billion, five hundred seventy-three million, nine hundred forty-three thousand, seven hundred twelve".