434338993936 has 135 divisors (see below), whose sum is σ = 891511808733. Its totient is φ = 204989045760.

The previous prime is 434338993903. The next prime is 434338993951. The reversal of 434338993936 is 639399833434.

The square root of 434338993936 is 659044.

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

It can be written as a sum of positive squares in 13 ways, for example, as 252249035536 + 182089958400 = 502244^2 + 426720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5949849196 + ... + 5949849268.

Almost surely, 2^434338993936 is an apocalyptic number.

434338993936 is the 659044-th square number.

It is an amenable number.

434338993936 is an abundant number, since it is smaller than the sum of its proper divisors (457172814797).

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

434338993936 is an frugal number, since it uses more digits than its factorization.

434338993936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 173 counting only the distinct ones).

The product of its digits is 136048896, while the sum is 64.

Multiplying 434338993936 by its sum of digits (64), we get a square (27797695611904 = 5272352²).

The spelling of 434338993936 in words is "four hundred thirty-four billion, three hundred thirty-eight million, nine hundred ninety-three thousand, nine hundred thirty-six".