3788100 has 144 divisors (see below), whose sum is σ = 12915840. Its totient is φ = 950400.

The previous prime is 3788051. The next prime is 3788111. The reversal of 3788100 is 18873.

3788100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3788100² = 28699403220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62070 + ... + 62130.

Almost surely, 2^3788100 is an apocalyptic number.

3788100 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 3788100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457920).

3788100 is an abundant number, since it is smaller than the sum of its proper divisors (9127740).

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

3788100 is a wasteful number, since it uses less digits than its factorization.

3788100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 3788100 is about 1946.3041899970. The cubic root of 3788100 is about 155.8860114038.

The spelling of 3788100 in words is "three million, seven hundred eighty-eight thousand, one hundred".