3383493120 has 840 divisors, whose sum is σ = 14531334444. Its totient is φ = 752467968.

The previous prime is 3383493107. The next prime is 3383493149. The reversal of 3383493120 is 213943833.

3383493120 is a `hidden beast` number, since 338 + 3 + 4 + 9 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3301191936 + 82301184 = 57456^2 + 9072^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×3383493120² = 22896051386174668800, 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 polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 91445742 + ... + 91445778.

Almost surely, 2^3383493120 is an apocalyptic number.

3383493120 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 3383493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265667222).

3383493120 is an abundant number, since it is smaller than the sum of its proper divisors (11147841324).

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

3383493120 is an frugal number, since it uses more digits than its factorization.

3383493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 54 counting only the distinct ones).

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

The square root of 3383493120 is about 58167.8014024941. The cubic root of 3383493120 is about 1501.2571860278.

The spelling of 3383493120 in words is "three billion, three hundred eighty-three million, four hundred ninety-three thousand, one hundred twenty".