3881779200 has 630 divisors, whose sum is σ = 15543419654. Its totient is φ = 955514880.

The previous prime is 3881779183. The next prime is 3881779217. The reversal of 3881779200 is 29771883.

It is an interprime number because it is at equal distance from previous prime (3881779183) and next prime (3881779217).

It can be written as a sum of positive squares in 3 ways, for example, as 11943936 + 3869835264 = 3456^2 + 62208^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 298598394 + ... + 298598406.

Almost surely, 2^3881779200 is an apocalyptic number.

3881779200 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 3881779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7771709827).

3881779200 is an abundant number, since it is smaller than the sum of its proper divisors (11661640454).

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

3881779200 is an frugal number, since it uses more digits than its factorization.

3881779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 3881779200 is about 62303.9260400177. The cubic root of 3881779200 is about 1571.6057516080.

The spelling of 3881779200 in words is "three billion, eight hundred eighty-one million, seven hundred seventy-nine thousand, two hundred".