3772300 has 72 divisors (see below), whose sum is σ = 9936864. Its totient is φ = 1213440.

The previous prime is 3772271. The next prime is 3772303. The reversal of 3772300 is 32773.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3772303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11742 + ... + 12058.

It is an arithmetic number, because the mean of its divisors is an integer number (138012).

Almost surely, 2^3772300 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 3772300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968432).

3772300 is an abundant number, since it is smaller than the sum of its proper divisors (6164564).

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

3772300 is a wasteful number, since it uses less digits than its factorization.

3772300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 22.

The square root of 3772300 is about 1942.2409737208. The cubic root of 3772300 is about 155.6689781250.

The spelling of 3772300 in words is "three million, seven hundred seventy-two thousand, three hundred".