3253665792 has 272 divisors, whose sum is σ = 9982367360. Its totient is φ = 934281216.

The previous prime is 3253665769. The next prime is 3253665803. The reversal of 3253665792 is 2975663523.

It is a super-3 number, since 3×3253665792³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48562143 + ... + 48562209.

It is an arithmetic number, because the mean of its divisors is an integer number (36699880).

Almost surely, 2^3253665792 is an apocalyptic number.

3253665792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3253665792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991183680).

3253665792 is an abundant number, since it is smaller than the sum of its proper divisors (6728701568).

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

3253665792 is an equidigital number, since it uses as much as digits as its factorization.

3253665792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 104 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 48.

The square root of 3253665792 is about 57040.9133166712. The cubic root of 3253665792 is about 1481.8047426065.

The spelling of 3253665792 in words is "three billion, two hundred fifty-three million, six hundred sixty-five thousand, seven hundred ninety-two".