3779986800 has 120 divisors (see below), whose sum is σ = 12404049840. Its totient is φ = 983398400.

The previous prime is 3779986799. The next prime is 3779986823. The reversal of 3779986800 is 86899773.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 10786 + ... + 87614.

It is an arithmetic number, because the mean of its divisors is an integer number (103367082).

Almost surely, 2^3779986800 is an apocalyptic number.

3779986800 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 3779986800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202024920).

3779986800 is an abundant number, since it is smaller than the sum of its proper divisors (8624063040).

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

3779986800 is a wasteful number, since it uses less digits than its factorization.

3779986800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76891 (or 76880 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The square root of 3779986800 is about 61481.5972466558. The cubic root of 3779986800 is about 1557.7464173013.

The spelling of 3779986800 in words is "three billion, seven hundred seventy-nine million, nine hundred eighty-six thousand, eight hundred".