3782100 has 72 divisors (see below), whose sum is σ = 12513088. Its totient is φ = 864000.

The previous prime is 3782087. The next prime is 3782111. The reversal of 3782100 is 12873.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1200 + ... + 3000.

Almost surely, 2^3782100 is an apocalyptic number.

3782100 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 3782100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256544).

3782100 is an abundant number, since it is smaller than the sum of its proper divisors (8730988).

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

3782100 is a wasteful number, since it uses less digits than its factorization.

3782100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 3782100 is about 1944.7621962595. The cubic root of 3782100 is about 155.8036649046.

Adding to 3782100 its reverse (12873), we get a palindrome (3794973).

The spelling of 3782100 in words is "three million, seven hundred eighty-two thousand, one hundred".