3380832000 has 1152 divisors, whose sum is σ = 15713617920. Its totient is φ = 696729600.

The previous prime is 3380831989. The next prime is 3380832011. The reversal of 3380832000 is 2380833.

3380832000 is a `hidden beast` number, since 3 + 380 + 83 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3380831989) and next prime (3380832011).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3380832000² = 22860050024448000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78623979 + ... + 78624021.

Almost surely, 2^3380832000 is an apocalyptic number.

3380832000 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 3380832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7856808960).

3380832000 is an abundant number, since it is smaller than the sum of its proper divisors (12332785920).

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

3380832000 is a wasteful number, since it uses less digits than its factorization.

3380832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3380832000 is about 58144.9223922433. The cubic root of 3380832000 is about 1500.8635028132.

The spelling of 3380832000 in words is "three billion, three hundred eighty million, eight hundred thirty-two thousand".