3720840 has 64 divisors (see below), whose sum is σ = 11309760. Its totient is φ = 979200.

The previous prime is 3720839. The next prime is 3720851. The reversal of 3720840 is 480273.

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 3720840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11967 + ... + 12273.

It is an arithmetic number, because the mean of its divisors is an integer number (176715).

Almost surely, 2^3720840 is an apocalyptic number.

3720840 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 3720840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654880).

3720840 is an abundant number, since it is smaller than the sum of its proper divisors (7588920).

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

3720840 is a wasteful number, since it uses less digits than its factorization.

3720840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3720840 is about 1928.9478997630. The cubic root of 3720840 is about 154.9578796407.

It can be divided in two parts, 3720 and 840, that added together give a triangular number (4560 = T₉₅).

The spelling of 3720840 in words is "three million, seven hundred twenty thousand, eight hundred forty".