3383700480 has 440 divisors, whose sum is σ = 12483424800. Its totient is φ = 875888640.

The previous prime is 3383700479. The next prime is 3383700493. The reversal of 3383700480 is 840073833.

3383700480 is a `hidden beast` number, since 33 + 83 + 70 + 0 + 480 = 666.

It is a super-2 number, since 2×3383700480² = 22898857876704460800, 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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17003421 + ... + 17003619.

It is an arithmetic number, because the mean of its divisors is an integer number (28371420).

Almost surely, 2^3383700480 is an apocalyptic number.

3383700480 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 3383700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241712400).

3383700480 is an abundant number, since it is smaller than the sum of its proper divisors (9099724320).

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

3383700480 is a wasteful number, since it uses less digits than its factorization.

3383700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3383700480 is about 58169.5838045967. The cubic root of 3383700480 is about 1501.2878539717.

The spelling of 3383700480 in words is "three billion, three hundred eighty-three million, seven hundred thousand, four hundred eighty".