34090979328 has 546 divisors, whose sum is σ = 119411952894. Its totient is φ = 9698476032.

The previous prime is 34090979317. The next prime is 34090979333. The reversal of 34090979328 is 82397909043.

It can be written as a sum of positive squares in only one way, i.e., 24726933504 + 9364045824 = 157248^2 + 96768^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 146313100 + ... + 146313332.

Almost surely, 2^34090979328 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 34090979328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59705976447).

34090979328 is an abundant number, since it is smaller than the sum of its proper divisors (85320973566).

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

34090979328 is an frugal number, since it uses more digits than its factorization.

34090979328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 34090979328 in words is "thirty-four billion, ninety million, nine hundred seventy-nine thousand, three hundred twenty-eight".