3696300 has 108 divisors (see below), whose sum is σ = 12212760. Its totient is φ = 959040.

The previous prime is 3696283. The next prime is 3696313. The reversal of 3696300 is 36963.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3696300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

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

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, 99882 + ... + 99918.

Almost surely, 2^3696300 is an apocalyptic number.

3696300 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 3696300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106380).

3696300 is an abundant number, since it is smaller than the sum of its proper divisors (8516460).

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

3696300 is a wasteful number, since it uses less digits than its factorization.

3696300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3696300 is about 1922.5763964015. The cubic root of 3696300 is about 154.6164641699.

Multiplying 3696300 by its sum of digits (27), we get a square (99800100 = 9990²).

3696300 divided by its sum of digits (27) gives a square (136900 = 370²).

Multiplying 3696300 by its reverse (36963), we get a square (136626336900 = 369630²).

3696300 divided by its reverse (36963) gives a square (100 = 10²).

The spelling of 3696300 in words is "three million, six hundred ninety-six thousand, three hundred".