34114090000 has 75 divisors (see below), whose sum is σ = 82638365227. Its totient is φ = 13638248000.

The previous prime is 34114089983. The next prime is 34114090019. The reversal of 34114090000 is 9041143.

The square root of 34114090000 is 184700.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2674544656 + 31439545344 = 51716^2 + 177312^2 .

It is a super-2 number, since 2×34114090000² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18469077 + ... + 18470923.

Almost surely, 2^34114090000 is an apocalyptic number.

34114090000 is the 184700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34114090000

34114090000 is an abundant number, since it is smaller than the sum of its proper divisors (48524275227).

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

34114090000 is an frugal number, since it uses more digits than its factorization.

34114090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 34114090000 in words is "thirty-four billion, one hundred fourteen million, ninety thousand".