3880332000 has 768 divisors, whose sum is σ = 15599001600. Its totient is φ = 933120000.

The previous prime is 3880331993. The next prime is 3880332023. The reversal of 3880332000 is 2330883.

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, 63611970 + ... + 63612030.

It is an arithmetic number, because the mean of its divisors is an integer number (20311200).

Almost surely, 2^3880332000 is an apocalyptic number.

3880332000 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 3880332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799500800).

3880332000 is an abundant number, since it is smaller than the sum of its proper divisors (11718669600).

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

3880332000 is a wasteful number, since it uses less digits than its factorization.

3880332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

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

The square root of 3880332000 is about 62292.3109219750. The cubic root of 3880332000 is about 1571.4104193102.

Adding to 3880332000 its reverse (2330883), we get a palindrome (3882662883).

The spelling of 3880332000 in words is "three billion, eight hundred eighty million, three hundred thirty-two thousand".