3772538 has 48 divisors (see below), whose sum is σ = 7584192. Its totient is φ = 1372800.

The previous prime is 3772537. The next prime is 3772541. The reversal of 3772538 is 8352773.

3772538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3772538² = 28464085922888, which contains 22 as substring.

Its product of digits (35280) is a multiple of the sum of its prime divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 3772498 and 3772507.

It is not an unprimeable number, because it can be changed into a prime (3772537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28733 + ... + 28863.

It is an arithmetic number, because the mean of its divisors is an integer number (158004).

Almost surely, 2^3772538 is an apocalyptic number.

3772538 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

3772538 is a wasteful number, since it uses less digits than its factorization.

3772538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 168 counting only the distinct ones).

The product of its digits is 35280, while the sum is 35.

The square root of 3772538 is about 1942.3022421858. The cubic root of 3772538 is about 155.6722518516.

The spelling of 3772538 in words is "three million, seven hundred seventy-two thousand, five hundred thirty-eight".