34778520100 has 81 divisors (see below), whose sum is σ = 80243051833. Its totient is φ = 13081154560.

The previous prime is 34778520031. The next prime is 34778520103. The reversal of 34778520100 is 102587743.

The square root of 34778520100 is 186490.

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

It can be written as a sum of positive squares in 13 ways, for example, as 19794801636 + 14983718464 = 140694^2 + 122408^2 .

It is a super-2 number, since 2×34778520100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34778520100.

It is not an unprimeable number, because it can be changed into a prime (34778520103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31702752 + ... + 31703848.

Almost surely, 2^34778520100 is an apocalyptic number.

34778520100 is the 186490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34778520100

34778520100 is an abundant number, since it is smaller than the sum of its proper divisors (45464531733).

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

34778520100 is a wasteful number, since it uses less digits than its factorization.

34778520100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 34778520100 in words is "thirty-four billion, seven hundred seventy-eight million, five hundred twenty thousand, one hundred".