3233831040 has 640 divisors, whose sum is σ = 12956137920. Its totient is φ = 761978880.

The previous prime is 3233831033. The next prime is 3233831053. The reversal of 3233831040 is 401383323.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3233830995 and 3233831013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30222667 + ... + 30222773.

Almost surely, 2^3233831040 is an apocalyptic number.

3233831040 is a gapful number since it is divisible by the number (30) 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 3233831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6478068960).

3233831040 is an abundant number, since it is smaller than the sum of its proper divisors (9722306880).

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

3233831040 is a wasteful number, since it uses less digits than its factorization.

3233831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3233831040 is about 56866.7832745971. The cubic root of 3233831040 is about 1478.7875143723.

It can be divided in two parts, 323383 and 1040, that added together give a palindrome (324423).

The spelling of 3233831040 in words is "three billion, two hundred thirty-three million, eight hundred thirty-one thousand, forty".