3233840640 has 480 divisors, whose sum is σ = 11577544704. Its totient is φ = 768737280.

The previous prime is 3233840629. The next prime is 3233840653. The reversal of 3233840640 is 460483323.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68805097 + ... + 68805143.

Almost surely, 2^3233840640 is an apocalyptic number.

3233840640 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 3233840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788772352).

3233840640 is an abundant number, since it is smaller than the sum of its proper divisors (8343704064).

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

3233840640 is a wasteful number, since it uses less digits than its factorization.

3233840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 3233840640 is about 56866.8676823333. The cubic root of 3233840640 is about 1478.7889776879.

The spelling of 3233840640 in words is "three billion, two hundred thirty-three million, eight hundred forty thousand, six hundred forty".