3393600480 has 144 divisors (see below), whose sum is σ = 11604194784. Its totient is φ = 903121920.

The previous prime is 3393600449. The next prime is 3393600491. The reversal of 3393600480 is 840063933.

3393600480 is a `hidden beast` number, since 3 + 3 + 9 + 3 + 600 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 799965 + ... + 804195.

It is an arithmetic number, because the mean of its divisors is an integer number (80584686).

Almost surely, 2^3393600480 is an apocalyptic number.

3393600480 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 3393600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5802097392).

3393600480 is an abundant number, since it is smaller than the sum of its proper divisors (8210594304).

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

3393600480 is a wasteful number, since it uses less digits than its factorization.

3393600480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3393600480 is about 58254.6176710482. The cubic root of 3393600480 is about 1502.7505797909.

The spelling of 3393600480 in words is "three billion, three hundred ninety-three million, six hundred thousand, four hundred eighty".