3312784440 has 256 divisors, whose sum is σ = 12669696000. Its totient is φ = 754237440.

The previous prime is 3312784417. The next prime is 3312784469. The reversal of 3312784440 is 444872133.

It is a super-2 number, since 2×3312784440² = 21949081491812227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 3312784395 and 3312784404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2350456 + ... + 2351864.

It is an arithmetic number, because the mean of its divisors is an integer number (49491000).

Almost surely, 2^3312784440 is an apocalyptic number.

3312784440 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 3312784440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6334848000).

3312784440 is an abundant number, since it is smaller than the sum of its proper divisors (9356911560).

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

3312784440 is a wasteful number, since it uses less digits than its factorization.

3312784440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3312784440 is about 57556.7931698770. The cubic root of 3312784440 is about 1490.7256558745.

The spelling of 3312784440 in words is "three billion, three hundred twelve million, seven hundred eighty-four thousand, four hundred forty".