3672900 has 216 divisors, whose sum is σ = 14624064. Its totient is φ = 748800.

The previous prime is 3672899. The next prime is 3672917. The reversal of 3672900 is 92763.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69274 + ... + 69326.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

Almost surely, 2^3672900 is an apocalyptic number.

3672900 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 3672900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312032).

3672900 is an abundant number, since it is smaller than the sum of its proper divisors (10951164).

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

3672900 is a wasteful number, since it uses less digits than its factorization.

3672900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3672900 is about 1916.4811504421. The cubic root of 3672900 is about 154.2894987314.

It can be divided in two parts, 36 and 72900, that multiplied together give a square (2624400 = 1620²).

The spelling of 3672900 in words is "three million, six hundred seventy-two thousand, nine hundred".