3772800 has 144 divisors (see below), whose sum is σ = 13564980. Its totient is φ = 998400.

The previous prime is 3772771. The next prime is 3772801. The reversal of 3772800 is 82773.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3772801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28735 + ... + 28865.

Almost surely, 2^3772800 is an apocalyptic number.

3772800 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 3772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6782490).

3772800 is an abundant number, since it is smaller than the sum of its proper divisors (9792180).

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

3772800 is a wasteful number, since it uses less digits than its factorization.

3772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 3772800 is about 1942.3696867486. The cubic root of 3772800 is about 155.6758555428.

Subtracting from 3772800 its sum of digits (27), we obtain a palindrome (3772773).

The spelling of 3772800 in words is "three million, seven hundred seventy-two thousand, eight hundred".