34382564352 has 264 divisors, whose sum is σ = 103750966800. Its totient is φ = 10955685888.

The previous prime is 34382564327. The next prime is 34382564357. The reversal of 34382564352 is 25346528343.

34382564352 is a `hidden beast` number, since 3 + 4 + 3 + 82 + 564 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34382564298 and 34382564307.

It is not an unprimeable number, because it can be changed into a prime (34382564357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20117674 + ... + 20119382.

Almost surely, 2^34382564352 is an apocalyptic number.

34382564352 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 34382564352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51875483400).

34382564352 is an abundant number, since it is smaller than the sum of its proper divisors (69368402448).

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

34382564352 is a wasteful number, since it uses less digits than its factorization.

34382564352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1810 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 34382564352 in words is "thirty-four billion, three hundred eighty-two million, five hundred sixty-four thousand, three hundred fifty-two".