3788772 has 48 divisors (see below), whose sum is σ = 9643200. Its totient is φ = 1150848.

The previous prime is 3788747. The next prime is 3788779. The reversal of 3788772 is 2778873.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3788779) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23163 + ... + 23325.

It is an arithmetic number, because the mean of its divisors is an integer number (200900).

Almost surely, 2^3788772 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 3788772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821600).

3788772 is an abundant number, since it is smaller than the sum of its proper divisors (5854428).

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

3788772 is a wasteful number, since it uses less digits than its factorization.

3788772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 330 counting only the distinct ones).

The product of its digits is 131712, while the sum is 42.

The square root of 3788772 is about 1946.4768172264. The cubic root of 3788772 is about 155.8952287956.

It can be divided in two parts, 3788 and 772, that added together give a triangular number (4560 = T₉₅).

The spelling of 3788772 in words is "three million, seven hundred eighty-eight thousand, seven hundred seventy-two".