3642752 has 32 divisors (see below), whose sum is σ = 7344000. Its totient is φ = 1799680.

The previous prime is 3642739. The next prime is 3642791. The reversal of 3642752 is 2572463.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18977 + ... + 19167.

It is an arithmetic number, because the mean of its divisors is an integer number (229500).

Almost surely, 2^3642752 is an apocalyptic number.

3642752 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 3642752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000).

3642752 is an abundant number, since it is smaller than the sum of its proper divisors (3701248).

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

3642752 is a wasteful number, since it uses less digits than its factorization.

3642752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 342 counting only the distinct ones).

The product of its digits is 10080, while the sum is 29.

The square root of 3642752 is about 1908.5994865346. The cubic root of 3642752 is about 153.8661906211.

The spelling of 3642752 in words is "three million, six hundred forty-two thousand, seven hundred fifty-two".