3232761840 has 1200 divisors, whose sum is σ = 15325685760. Its totient is φ = 615859200.

The previous prime is 3232761839. The next prime is 3232761853. The reversal of 3232761840 is 481672323.

3232761840 = 434² + 435² + ... + 2138².

It is a happy number.

3232761840 is a `hidden beast` number, since 3 + 2 + 32 + 7 + 618 + 4 + 0 = 666.

It is a super-2 number, since 2×3232761840² = 20901498228320371200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3232761795 and 3232761804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 104282625 + ... + 104282655.

Almost surely, 2^3232761840 is an apocalyptic number.

3232761840 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 3232761840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7662842880).

3232761840 is an abundant number, since it is smaller than the sum of its proper divisors (12092923920).

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

3232761840 is a wasteful number, since it uses less digits than its factorization.

3232761840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3232761840 is about 56857.3815788240. The cubic root of 3232761840 is about 1478.6245194727.

The spelling of 3232761840 in words is "three billion, two hundred thirty-two million, seven hundred sixty-one thousand, eight hundred forty".