3672952 has 32 divisors (see below), whose sum is σ = 7387200. Its totient is φ = 1705984.

The previous prime is 3672923. The next prime is 3672959. The reversal of 3672952 is 2592763.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a d-powerful number, because it can be written as 3³ + 6⁸ + 7³ + 2⁹ + 9⁴ + 5⁹ + 2¹⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672959) 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, 15249 + ... + 15487.

It is an arithmetic number, because the mean of its divisors is an integer number (230850).

Almost surely, 2^3672952 is an apocalyptic number.

It is an amenable number.

3672952 is an abundant number, since it is smaller than the sum of its proper divisors (3714248).

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

3672952 is a wasteful number, since it uses less digits than its factorization.

3672952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 371 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The square root of 3672952 is about 1916.4947169246. The cubic root of 3672952 is about 154.2902268587.

It can be divided in two parts, 3672 and 952, that added together give a square (4624 = 68²).

The spelling of 3672952 in words is "three million, six hundred seventy-two thousand, nine hundred fifty-two".