3321790560 has 384 divisors, whose sum is σ = 12854661120. Its totient is φ = 804349440.

The previous prime is 3321790543. The next prime is 3321790579. The reversal of 3321790560 is 650971233.

3321790560 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 7 + 90 + 560 = 666.

It is a super-2 number, since 2×3321790560² = 22068585049010227200, which contains 22 as substring.

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

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, 3848689 + ... + 3849551.

It is an arithmetic number, because the mean of its divisors is an integer number (33475680).

Almost surely, 2^3321790560 is an apocalyptic number.

3321790560 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 3321790560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6427330560).

3321790560 is an abundant number, since it is smaller than the sum of its proper divisors (9532870560).

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

3321790560 is an equidigital number, since it uses as much as digits as its factorization.

3321790560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3321790560 is about 57634.9768803632. The cubic root of 3321790560 is about 1492.0753267654.

It can be divided in two parts, 3321 and 790560, that added together give a square (793881 = 891²).

The spelling of 3321790560 in words is "three billion, three hundred twenty-one million, seven hundred ninety thousand, five hundred sixty".