3727952 has 20 divisors (see below), whose sum is σ = 7603680. Its totient is φ = 1765728.

The previous prime is 3727951. The next prime is 3727961. The reversal of 3727952 is 2597273.

Added to its reverse (2597273) it gives a square (6325225 = 2515²).

It is a super-2 number, since 2×3727952² = 27795252228608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3727951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5828 + ... + 6435.

It is an arithmetic number, because the mean of its divisors is an integer number (380184).

Almost surely, 2^3727952 is an apocalyptic number.

It is an amenable number.

3727952 is an abundant number, since it is smaller than the sum of its proper divisors (3875728).

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

3727952 is a wasteful number, since it uses less digits than its factorization.

3727952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12290 (or 12284 counting only the distinct ones).

The product of its digits is 26460, while the sum is 35.

The square root of 3727952 is about 1930.7905116817. The cubic root of 3727952 is about 155.0565454462.

Adding to 3727952 its reverse (2597273), we get a square (6325225 = 2515²).

The spelling of 3727952 in words is "three million, seven hundred twenty-seven thousand, nine hundred fifty-two".