3728100 has 108 divisors (see below), whose sum is σ = 11724944. Its totient is φ = 913920.

The previous prime is 3728099. The next prime is 3728113. The reversal of 3728100 is 18273.

3728100 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 2×3728100² = 27797459220000, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 86679 + ... + 86721.

Almost surely, 2^3728100 is an apocalyptic number.

3728100 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 3728100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5862472).

3728100 is an abundant number, since it is smaller than the sum of its proper divisors (7996844).

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

3728100 is a wasteful number, since it uses less digits than its factorization.

3728100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

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

The square root of 3728100 is about 1930.8288375721. The cubic root of 3728100 is about 155.0585973382.

It can be divided in two parts, 3728 and 100, that added together give a triangular number (3828 = T₈₇).

The spelling of 3728100 in words is "three million, seven hundred twenty-eight thousand, one hundred".