3728420 has 24 divisors (see below), whose sum is σ = 7869624. Its totient is φ = 1483776.

The previous prime is 3728411. The next prime is 3728429. The reversal of 3728420 is 248273.

3728420 is nontrivially palindromic in base 6.

3728420 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3728411) and next prime (3728429).

It can be written as a sum of positive squares in 4 ways, for example, as 11236 + 3717184 = 106^2 + 1928^2 .

It is a super-2 number, since 2×3728420² = 27802231392800, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3¹³ + 7² + 2⁵ + 8⁵ + 4⁶ + 2²¹ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 3728420.

It is not an unprimeable number, because it can be changed into a prime (3728429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5204 + ... + 5876.

It is an arithmetic number, because the mean of its divisors is an integer number (327901).

Almost surely, 2^3728420 is an apocalyptic number.

It is an amenable number.

3728420 is an abundant number, since it is smaller than the sum of its proper divisors (4141204).

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

3728420 is a wasteful number, since it uses less digits than its factorization.

3728420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 3728420 is about 1930.9117017616. The cubic root of 3728420 is about 155.0630336759.

The spelling of 3728420 in words is "three million, seven hundred twenty-eight thousand, four hundred twenty".