3383190720 has 672 divisors, whose sum is σ = 14814743040. Its totient is φ = 711659520.

The previous prime is 3383190697. The next prime is 3383190737. The reversal of 3383190720 is 270913833.

It is a happy number.

3383190720 is a `hidden beast` number, since 338 + 319 + 0 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3383190720² = 22891958895788236800, 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 95 ways as a sum of consecutive naturals, for example, 10220955 + ... + 10221285.

Almost surely, 2^3383190720 is an apocalyptic number.

3383190720 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 3383190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7407371520).

3383190720 is an abundant number, since it is smaller than the sum of its proper divisors (11431552320).

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

3383190720 is a wasteful number, since it uses less digits than its factorization.

3383190720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3383190720 is about 58165.2019681871. The cubic root of 3383190720 is about 1501.2124596969.

The spelling of 3383190720 in words is "three billion, three hundred eighty-three million, one hundred ninety thousand, seven hundred twenty".