3726432 has 96 divisors (see below), whose sum is σ = 11491200. Its totient is φ = 1171584.

The previous prime is 3726421. The next prime is 3726439. The reversal of 3726432 is 2346273.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3726396 and 3726405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3726439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16303 + ... + 16529.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

Almost surely, 2^3726432 is an apocalyptic number.

3726432 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 3726432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745600).

3726432 is an abundant number, since it is smaller than the sum of its proper divisors (7764768).

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

3726432 is a wasteful number, since it uses less digits than its factorization.

3726432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 3726432 is about 1930.3968503911. The cubic root of 3726432 is about 155.0354688168.

The spelling of 3726432 in words is "three million, seven hundred twenty-six thousand, four hundred thirty-two".