3253041792 has 864 divisors, whose sum is σ = 13278245760. Its totient is φ = 754790400.

The previous prime is 3253041787. The next prime is 3253041797. The reversal of 3253041792 is 2971403523.

3253041792 is a `hidden beast` number, since 32 + 530 + 4 + 1 + 7 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (3253041787) and next prime (3253041797).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3253041797) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 104936817 + ... + 104936847.

It is an arithmetic number, because the mean of its divisors is an integer number (15368340).

Almost surely, 2^3253041792 is an apocalyptic number.

3253041792 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 3253041792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639122880).

3253041792 is an abundant number, since it is smaller than the sum of its proper divisors (10025203968).

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

3253041792 is a wasteful number, since it uses less digits than its factorization.

3253041792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3253041792 is about 57035.4432962522. The cubic root of 3253041792 is about 1481.7100078944.

The spelling of 3253041792 in words is "three billion, two hundred fifty-three million, forty-one thousand, seven hundred ninety-two".