34214640784 has 45 divisors (see below), whose sum is σ = 66990539929. Its totient is φ = 16928637440.

The previous prime is 34214640781. The next prime is 34214640791. The reversal of 34214640784 is 48704641243.

The square root of 34214640784 is 184972.

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., 13900410000 + 20314230784 = 117900^2 + 142528^2 .

It is a super-2 number, since 2×34214640784² (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 34214640784.

It is not an unprimeable number, because it can be changed into a prime (34214640781) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96925152 + ... + 96925504.

Almost surely, 2^34214640784 is an apocalyptic number.

34214640784 is the 184972-nd square number.

It is an amenable number.

34214640784 is a deficient number, since it is larger than the sum of its proper divisors (32775899145).

34214640784 is an frugal number, since it uses more digits than its factorization.

34214640784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 43.

The spelling of 34214640784 in words is "thirty-four billion, two hundred fourteen million, six hundred forty thousand, seven hundred eighty-four".