3359220480 has 648 divisors, whose sum is σ = 14776476624. Its totient is φ = 696729600.

The previous prime is 3359220479. The next prime is 3359220493. The reversal of 3359220480 is 840229533.

3359220480 is a `hidden beast` number, since 3 + 3 + 592 + 20 + 48 + 0 = 666.

It is a super-2 number, since 2×3359220480² = 22568724466502860800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6209010 + ... + 6209550.

Almost surely, 2^3359220480 is an apocalyptic number.

3359220480 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 3359220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388238312).

3359220480 is an abundant number, since it is smaller than the sum of its proper divisors (11417256144).

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

3359220480 is a wasteful number, since it uses less digits than its factorization.

3359220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3359220480 is about 57958.7825959103. The cubic root of 3359220480 is about 1497.6586405923.

The spelling of 3359220480 in words is "three billion, three hundred fifty-nine million, two hundred twenty thousand, four hundred eighty".