3880319800 has 144 divisors (see below), whose sum is σ = 10668368520. Its totient is φ = 1308384000.

The previous prime is 3880319767. The next prime is 3880319801. The reversal of 3880319800 is 89130883.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3880319801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 594555 + ... + 601045.

Almost surely, 2^3880319800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3880319800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334184260).

3880319800 is an abundant number, since it is smaller than the sum of its proper divisors (6788048720).

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

3880319800 is a wasteful number, since it uses less digits than its factorization.

3880319800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582 (or 6566 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 3880319800 is about 62292.2129964894. The cubic root of 3880319800 is about 1571.4087724385.

The spelling of 3880319800 in words is "three billion, eight hundred eighty million, three hundred nineteen thousand, eight hundred".