3880220400 has 360 divisors, whose sum is σ = 15888697344. Its totient is φ = 858124800.

The previous prime is 3880220353. The next prime is 3880220401. The reversal of 3880220400 is 40220883.

3880220400 is a `hidden beast` number, since 38 + 8 + 0 + 220 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3880220400² = 30112220705152320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3880220401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 778717 + ... + 783683.

Almost surely, 2^3880220400 is an apocalyptic number.

3880220400 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 3880220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7944348672).

3880220400 is an abundant number, since it is smaller than the sum of its proper divisors (12008476944).

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

3880220400 is a wasteful number, since it uses less digits than its factorization.

3880220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3880220400 is about 62291.4151388456. The cubic root of 3880220400 is about 1571.3953543549.

The spelling of 3880220400 in words is "three billion, eight hundred eighty million, two hundred twenty thousand, four hundred".