3779686400 has 156 divisors (see below), whose sum is σ = 10713434832. Its totient is φ = 1295646720.

The previous prime is 3779686399. The next prime is 3779686409. The reversal of 3779686400 is 46869773.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3779686409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 714164 + ... + 719436.

Almost surely, 2^3779686400 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 3779686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356717416).

3779686400 is an abundant number, since it is smaller than the sum of its proper divisors (6933748432).

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

3779686400 is an equidigital number, since it uses as much as digits as its factorization.

3779686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5314 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 50.

The square root of 3779686400 is about 61479.1541906686. The cubic root of 3779686400 is about 1557.7051508944.

The spelling of 3779686400 in words is "three billion, seven hundred seventy-nine million, six hundred eighty-six thousand, four hundred".