34392408960 has 512 divisors, whose sum is σ = 142873113600. Its totient is φ = 6828982272.

The previous prime is 34392408923. The next prime is 34392408961. The reversal of 34392408960 is 6980429343.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34392408961) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2964451 + ... + 2976029.

It is an arithmetic number, because the mean of its divisors is an integer number (279049050).

Almost surely, 2^34392408960 is an apocalyptic number.

34392408960 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 34392408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71436556800).

34392408960 is an abundant number, since it is smaller than the sum of its proper divisors (108480704640).

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

34392408960 is a wasteful number, since it uses less digits than its factorization.

34392408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11638 (or 11626 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 34392408960 in words is "thirty-four billion, three hundred ninety-two million, four hundred eight thousand, nine hundred sixty".