3233753413696 has 63 divisors (see below), whose sum is σ = 6948965408493. Its totient is φ = 1492415258880.

The previous prime is 3233753413619. The next prime is 3233753413739. The reversal of 3233753413696 is 6963143573323.

It is a happy number.

The square root of 3233753413696 is 1798264.

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., 478365889600 + 2755387524096 = 691640^2 + 1659936^2 .

It is a super-2 number, since 2×3233753413696² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 187010811 + ... + 187028101.

Almost surely, 2^{3233753413696} is an apocalyptic number.

3233753413696 is the 1798264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3233753413696

3233753413696 is an abundant number, since it is smaller than the sum of its proper divisors (3715211994797).

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

3233753413696 is an frugal number, since it uses more digits than its factorization.

3233753413696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34620 (or 17306 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 55.

The spelling of 3233753413696 in words is "three trillion, two hundred thirty-three billion, seven hundred fifty-three million, four hundred thirteen thousand, six hundred ninety-six".