3800628 has 48 divisors (see below), whose sum is σ = 10615360. Its totient is φ = 1168992.

The previous prime is 3800623. The next prime is 3800633. The reversal of 3800628 is 8260083.

3800628 is a `hidden beast` number, since 38 + 0 + 0 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (3800623) and next prime (3800633).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3800623) 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, 51 + ... + 2757.

Almost surely, 2^3800628 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 3800628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307680).

3800628 is an abundant number, since it is smaller than the sum of its proper divisors (6814732).

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

3800628 is a wasteful number, since it uses less digits than its factorization.

3800628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3800628 is about 1949.5199409085. The cubic root of 3800628 is about 156.0576709849.

The spelling of 3800628 in words is "three million, eight hundred thousand, six hundred twenty-eight".