34024525880 has 128 divisors (see below), whose sum is σ = 81452044800. Its totient is φ = 12755520000.

The previous prime is 34024525867. The next prime is 34024525907. The reversal of 34024525880 is 8852542043.

It is a super-2 number, since 2×34024525880² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33000965 + ... + 33001995.

It is an arithmetic number, because the mean of its divisors is an integer number (636344100).

Almost surely, 2^34024525880 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 34024525880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40726022400).

34024525880 is an abundant number, since it is smaller than the sum of its proper divisors (47427518920).

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

34024525880 is a wasteful number, since it uses less digits than its factorization.

34024525880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 41.

The spelling of 34024525880 in words is "thirty-four billion, twenty-four million, five hundred twenty-five thousand, eight hundred eighty".