3232779840 has 168 divisors, whose sum is σ = 11773677240. Its totient is φ = 811352064.

The previous prime is 3232779839. The next prime is 3232779889. The reversal of 3232779840 is 489772323.

It can be written as a sum of positive squares in 4 ways, for example, as 49112064 + 3183667776 = 7008^2 + 56424^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15946 + ... + 81974.

Almost surely, 2^3232779840 is an apocalyptic number.

3232779840 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 3232779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886838620).

3232779840 is an abundant number, since it is smaller than the sum of its proper divisors (8540897400).

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

3232779840 is a wasteful number, since it uses less digits than its factorization.

3232779840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66069 (or 66056 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3232779840 is about 56857.5398693964. The cubic root of 3232779840 is about 1478.6272637920.

The spelling of 3232779840 in words is "three billion, two hundred thirty-two million, seven hundred seventy-nine thousand, eight hundred forty".