3725952 has 64 divisors (see below), whose sum is σ = 10248960. Its totient is φ = 1198080.

The previous prime is 3725951. The next prime is 3725959. The reversal of 3725952 is 2595273.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3725951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11748 + ... + 12060.

It is an arithmetic number, because the mean of its divisors is an integer number (160140).

Almost surely, 2^3725952 is an apocalyptic number.

3725952 is a gapful number since it is divisible by the number (32) 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 3725952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5124480).

3725952 is an abundant number, since it is smaller than the sum of its proper divisors (6523008).

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

3725952 is a wasteful number, since it uses less digits than its factorization.

3725952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 349 counting only the distinct ones).

The product of its digits is 18900, while the sum is 33.

The square root of 3725952 is about 1930.2725196200. The cubic root of 3725952 is about 155.0288118483.

It can be divided in two parts, 372 and 5952, that multiplied together give a square (2214144 = 1488²).

The spelling of 3725952 in words is "three million, seven hundred twenty-five thousand, nine hundred fifty-two".