34417112892100 has 135 divisors (see below), whose sum is σ = 78150370875367. Its totient is φ = 13156412653120.

The previous prime is 34417112892089. The next prime is 34417112892119. The reversal of 34417112892100 is 129821171443.

The square root of 34417112892100 is 5866610.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17704453167556 + 16712659724544 = 4207666^2 + 4088112^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 31034366346 + ... + 31034367454.

Almost surely, 2^{34417112892100} is an apocalyptic number.

34417112892100 is the 5866610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34417112892100

34417112892100 is an abundant number, since it is smaller than the sum of its proper divisors (43733257983267).

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

34417112892100 is an frugal number, since it uses more digits than its factorization.

34417112892100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 34417112892100 in words is "thirty-four trillion, four hundred seventeen billion, one hundred twelve million, eight hundred ninety-two thousand, one hundred".