33724384164 has 81 divisors (see below), whose sum is σ = 86282288001. Its totient is φ = 11106668160.

The previous prime is 33724384121. The next prime is 33724384193. The reversal of 33724384164 is 46148342733.

The square root of 33724384164 is 183642.

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

33724384164 is a `hidden beast` number, since 3 + 372 + 43 + 84 + 164 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25363110564 + 8361273600 = 159258^2 + 91440^2 .

It is a super-2 number, since 2×33724384164² (a number of 22 digits) contains 22 as substring.

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, 139935084 + ... + 139935324.

Almost surely, 2^33724384164 is an apocalyptic number.

33724384164 is the 183642-nd square number.

It is an amenable number.

33724384164 is an abundant number, since it is smaller than the sum of its proper divisors (52557903837).

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

33724384164 is a wasteful number, since it uses less digits than its factorization.

33724384164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 373 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 33724384164 in words is "thirty-three billion, seven hundred twenty-four million, three hundred eighty-four thousand, one hundred sixty-four".