33994509376 has 63 divisors (see below), whose sum is σ = 71253873621. Its totient is φ = 16089387264.

The previous prime is 33994509349. The next prime is 33994509383. The reversal of 33994509376 is 67390549933.

The square root of 33994509376 is 184376.

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., 1386817600 + 32607691776 = 37240^2 + 180576^2 .

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 33994509376.

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, 28024546 + ... + 28025758.

It is an arithmetic number, because the mean of its divisors is an integer number (1131013867).

Almost surely, 2^33994509376 is an apocalyptic number.

33994509376 is the 184376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33994509376

33994509376 is an abundant number, since it is smaller than the sum of its proper divisors (37259364245).

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

33994509376 is an frugal number, since it uses more digits than its factorization.

33994509376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 58.

The spelling of 33994509376 in words is "thirty-three billion, nine hundred ninety-four million, five hundred nine thousand, three hundred seventy-six".