3646720 has 144 divisors (see below), whose sum is σ = 11184768. Its totient is φ = 1105920.

The previous prime is 3646717. The next prime is 3646723. The reversal of 3646720 is 276463.

It is an interprime number because it is at equal distance from previous prime (3646717) and next prime (3646723).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3646723) 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, 98542 + ... + 98578.

It is an arithmetic number, because the mean of its divisors is an integer number (77672).

Almost surely, 2^3646720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592384).

3646720 is an abundant number, since it is smaller than the sum of its proper divisors (7538048).

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

3646720 is a wasteful number, since it uses less digits than its factorization.

3646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 3646720 is about 1909.6387092851. The cubic root of 3646720 is about 153.9220384612.

The spelling of 3646720 in words is "three million, six hundred forty-six thousand, seven hundred twenty".