3642720 has 48 divisors (see below), whose sum is σ = 11476080. Its totient is φ = 971264.

The previous prime is 3642707. The next prime is 3642721. The reversal of 3642720 is 272463.

3642720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3315 + ... + 4274.

It is an arithmetic number, because the mean of its divisors is an integer number (239085).

Almost surely, 2^3642720 is an apocalyptic number.

3642720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3642720 is an abundant number, since it is smaller than the sum of its proper divisors (7833360).

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

3642720 is a wasteful number, since it uses less digits than its factorization.

3642720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607 (or 7599 counting only the distinct ones).

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

The square root of 3642720 is about 1908.5911034059. The cubic root of 3642720 is about 153.8657400705.

The spelling of 3642720 in words is "three million, six hundred forty-two thousand, seven hundred twenty".