3360480480 has 192 divisors, whose sum is σ = 13442042880. Its totient is φ = 768102912.

The previous prime is 3360480451. The next prime is 3360480503. The reversal of 3360480480 is 840840633.

3360480480 is a `hidden beast` number, since 3 + 3 + 604 + 8 + 0 + 48 + 0 = 666.

It is a super-2 number, since 2×3360480480² = 22585658112922060800, which contains 22 as substring.

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

3360480480 is a modest number, since divided by 480480 gives 3360 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25324 + ... + 85803.

It is an arithmetic number, because the mean of its divisors is an integer number (70010640).

Almost surely, 2^3360480480 is an apocalyptic number.

3360480480 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 3360480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6721021440).

3360480480 is an abundant number, since it is smaller than the sum of its proper divisors (10081562400).

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

3360480480 is a wasteful number, since it uses less digits than its factorization.

3360480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111158 (or 111144 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3360480480 is about 57969.6513703507. The cubic root of 3360480480 is about 1497.8458679576.

The spelling of 3360480480 in words is "three billion, three hundred sixty million, four hundred eighty thousand, four hundred eighty".