3320403840 has 480 divisors, whose sum is σ = 12873940200. Its totient is φ = 815173632.

The previous prime is 3320403839. The next prime is 3320403869. The reversal of 3320403840 is 483040233.

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

It is a super-2 number, since 2×3320403840² = 22050163321373491200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8760771 + ... + 8761149.

Almost surely, 2^3320403840 is an apocalyptic number.

3320403840 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 3320403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6436970100).

3320403840 is an abundant number, since it is smaller than the sum of its proper divisors (9553536360).

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

3320403840 is a wasteful number, since it uses less digits than its factorization.

3320403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3320403840 is about 57622.9454297505. The cubic root of 3320403840 is about 1491.8676698157.

The spelling of 3320403840 in words is "three billion, three hundred twenty million, four hundred three thousand, eight hundred forty".