34425039960 has 256 divisors, whose sum is σ = 118808064000. Its totient is φ = 8857175040.

The previous prime is 34425039931. The next prime is 34425039977. The reversal of 34425039960 is 6993052443.

34425039960 is a `hidden beast` number, since 3 + 4 + 4 + 250 + 399 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12687564 + ... + 12690276.

It is an arithmetic number, because the mean of its divisors is an integer number (464094000).

Almost surely, 2^34425039960 is an apocalyptic number.

34425039960 is a gapful number since it is divisible by the number (30) 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 34425039960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59404032000).

34425039960 is an abundant number, since it is smaller than the sum of its proper divisors (84383024040).

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

34425039960 is a wasteful number, since it uses less digits than its factorization.

34425039960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 34425039960 in words is "thirty-four billion, four hundred twenty-five million, thirty-nine thousand, nine hundred sixty".