3796100 has 144 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1075200.

The previous prime is 3796099. The next prime is 3796109. The reversal of 3796100 is 16973.

3796100 = 65³ + 66³ + ... + 75³.

It is a happy number.

3796100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3796100.

It is not an unprimeable number, because it can be changed into a prime (3796109) by changing a digit.

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, 130886 + ... + 130914.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

Almost surely, 2^3796100 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 3796100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

3796100 is an abundant number, since it is smaller than the sum of its proper divisors (7453180).

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

3796100 is a wasteful number, since it uses less digits than its factorization.

3796100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 3796100 is about 1948.3582832734. The cubic root of 3796100 is about 155.9956715871.

The spelling of 3796100 in words is "three million, seven hundred ninety-six thousand, one hundred".