3322260480 has 528 divisors, whose sum is σ = 13502732544. Its totient is φ = 677314560.

The previous prime is 3322260419. The next prime is 3322260493. The reversal of 3322260480 is 840622233.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×3322260480² = 22074829393939660800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62684134 + ... + 62684186.

Almost surely, 2^3322260480 is an apocalyptic number.

3322260480 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 3322260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751366272).

3322260480 is an abundant number, since it is smaller than the sum of its proper divisors (10180472064).

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

3322260480 is a wasteful number, since it uses less digits than its factorization.

3322260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3322260480 is about 57639.0534273421. The cubic root of 3322260480 is about 1492.1456826939.

The spelling of 3322260480 in words is "three billion, three hundred twenty-two million, two hundred sixty thousand, four hundred eighty".