34894240000 has 135 divisors (see below), whose sum is σ = 87224131687. Its totient is φ = 13927808000.

The previous prime is 34894239997. The next prime is 34894240037. The reversal of 34894240000 is 4249843.

The square root of 34894240000 is 186800.

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 2735708416 + 32158531584 = 52304^2 + 179328^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 74719767 + ... + 74720233.

Almost surely, 2^34894240000 is an apocalyptic number.

34894240000 is the 186800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34894240000

34894240000 is an abundant number, since it is smaller than the sum of its proper divisors (52329891687).

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

34894240000 is an frugal number, since it uses more digits than its factorization.

34894240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 34894240000 its reverse (4249843), we get a palindrome (34898489843).

The spelling of 34894240000 in words is "thirty-four billion, eight hundred ninety-four million, two hundred forty thousand".