34793319960 has 1280 divisors, whose sum is σ = 151747706880. Its totient is φ = 6967296000.

The previous prime is 34793319949. The next prime is 34793319983. The reversal of 34793319960 is 6991339743.

34793319960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34793319960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 34793319897 and 34793319906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 490046725 + ... + 490046795.

It is an arithmetic number, because the mean of its divisors is an integer number (118552896).

Almost surely, 2^34793319960 is an apocalyptic number.

34793319960 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 34793319960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75873853440).

34793319960 is an abundant number, since it is smaller than the sum of its proper divisors (116954386920).

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

34793319960 is a wasteful number, since it uses less digits than its factorization.

34793319960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The spelling of 34793319960 in words is "thirty-four billion, seven hundred ninety-three million, three hundred nineteen thousand, nine hundred sixty".