3870720 has 208 divisors, whose sum is σ = 15726720. Its totient is φ = 884736.

The previous prime is 3870719. The next prime is 3870721. The reversal of 3870720 is 270783.

It is a Jordan-Polya number, since it can be written as 8! ⋅ 4! ⋅ (2!)².

It is an interprime number because it is at equal distance from previous prime (3870719) and next prime (3870721).

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

It is not an unprimeable number, because it can be changed into a prime (3870721) 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, 552957 + ... + 552963.

Almost surely, 2^3870720 is an apocalyptic number.

3870720 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 3870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7863360).

3870720 is an abundant number, since it is smaller than the sum of its proper divisors (11856000).

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

3870720 is an equidigital number, since it uses as much as digits as its factorization.

3870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 3870720 is about 1967.4145470642. The cubic root of 3870720 is about 157.0111828891.

The spelling of 3870720 in words is "three million, eight hundred seventy thousand, seven hundred twenty".