34152382464 has 76 divisors (see below), whose sum is σ = 91074943344. Its totient is φ = 11383865344.

The previous prime is 34152382403. The next prime is 34152382477. The reversal of 34152382464 is 46428325143.

It is a super-2 number, since 2×34152382464² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 764719 + ... + 808145.

Almost surely, 2^34152382464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34152382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45537471672).

34152382464 is an abundant number, since it is smaller than the sum of its proper divisors (56922560880).

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

34152382464 is an frugal number, since it uses more digits than its factorization.

34152382464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43466 (or 43432 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The spelling of 34152382464 in words is "thirty-four billion, one hundred fifty-two million, three hundred eighty-two thousand, four hundred sixty-four".