3672240 has 160 divisors (see below), whose sum is σ = 13499136. Its totient is φ = 814080.

The previous prime is 3672233. The next prime is 3672257. The reversal of 3672240 is 422763.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3672240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34267 + ... + 34373.

Almost surely, 2^3672240 is an apocalyptic number.

3672240 is a gapful number since it is divisible by the number (30) 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 3672240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749568).

3672240 is an abundant number, since it is smaller than the sum of its proper divisors (9826896).

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

3672240 is a wasteful number, since it uses less digits than its factorization.

3672240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 3672240 is about 1916.3089521265. The cubic root of 3672240 is about 154.2802565187.

The spelling of 3672240 in words is "three million, six hundred seventy-two thousand, two hundred forty".