34786726144 has 27 divisors (see below), whose sum is σ = 69443523877. Its totient is φ = 17391870976.

The previous prime is 34786726097. The next prime is 34786726147. The reversal of 34786726144 is 44162768743.

The square root of 34786726144 is 186512.

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., 25472160000 + 9314566144 = 159600^2 + 96512^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34786726091 and 34786726100.

It is not an unprimeable number, because it can be changed into a prime (34786726147) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2978364 + ... + 2990020.

Almost surely, 2^34786726144 is an apocalyptic number.

34786726144 is the 186512-nd square number.

It is an amenable number.

34786726144 is a deficient number, since it is larger than the sum of its proper divisors (34656797733).

34786726144 is an frugal number, since it uses more digits than its factorization.

34786726144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23330 (or 11659 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 52.

The spelling of 34786726144 in words is "thirty-four billion, seven hundred eighty-six million, seven hundred twenty-six thousand, one hundred forty-four".