34480776100 has 81 divisors (see below), whose sum is σ = 77444086881. Its totient is φ = 13325114400.

The previous prime is 34480776073. The next prime is 34480776179. The reversal of 34480776100 is 167708443.

The square root of 34480776100 is 185690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12413079396 + 22067696704 = 111414^2 + 148552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57563601 + ... + 57564199.

Almost surely, 2^34480776100 is an apocalyptic number.

34480776100 is the 185690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34480776100

34480776100 is an abundant number, since it is smaller than the sum of its proper divisors (42963310781).

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

34480776100 is an equidigital number, since it uses as much as digits as its factorization.

34480776100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 34480776100 in words is "thirty-four billion, four hundred eighty million, seven hundred seventy-six thousand, one hundred".