3772944 has 120 divisors (see below), whose sum is σ = 12767040. Its totient is φ = 1016064.

The previous prime is 3772919. The next prime is 3772981. The reversal of 3772944 is 4492773.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3772899 and 3772908.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19054 + ... + 19250.

It is an arithmetic number, because the mean of its divisors is an integer number (106392).

Almost surely, 2^3772944 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 3772944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383520).

3772944 is an abundant number, since it is smaller than the sum of its proper divisors (8994096).

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

3772944 is a wasteful number, since it uses less digits than its factorization.

3772944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 228 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3772944 is about 1942.4067545187. The cubic root of 3772944 is about 155.6778361265.

It can be divided in two parts, 37729 and 44, that added together give a palindrome (37773).

The spelling of 3772944 in words is "three million, seven hundred seventy-two thousand, nine hundred forty-four".