434692313344 has 81 divisors (see below), whose sum is σ = 879444880293. Its totient is φ = 214439909376.

The previous prime is 434692313339. The next prime is 434692313353. The reversal of 434692313344 is 443313296434.

The square root of 434692313344 is 659312.

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., 83470143744 + 351222169600 = 288912^2 + 592640^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 434692313294 and 434692313303.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 938860057 + ... + 938860519.

Almost surely, 2^434692313344 is an apocalyptic number.

434692313344 is the 659312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434692313344

434692313344 is an abundant number, since it is smaller than the sum of its proper divisors (444752566949).

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

434692313344 is an frugal number, since it uses more digits than its factorization.

434692313344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 554 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 46.

The spelling of 434692313344 in words is "four hundred thirty-four billion, six hundred ninety-two million, three hundred thirteen thousand, three hundred forty-four".