3380200320 has 768 divisors, whose sum is σ = 13841971200. Its totient is φ = 696729600.

The previous prime is 3380200319. The next prime is 3380200349. The reversal of 3380200320 is 230020833.

It is a super-2 number, since 2×3380200320² = 22851508406656204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 55413090 + ... + 55413150.

It is an arithmetic number, because the mean of its divisors is an integer number (18023400).

Almost surely, 2^3380200320 is an apocalyptic number.

3380200320 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 3380200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6920985600).

3380200320 is an abundant number, since it is smaller than the sum of its proper divisors (10461770880).

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

3380200320 is a wasteful number, since it uses less digits than its factorization.

3380200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3380200320 is about 58139.4901938433. The cubic root of 3380200320 is about 1500.7700224205.

The spelling of 3380200320 in words is "three billion, three hundred eighty million, two hundred thousand, three hundred twenty".