3802320 has 60 divisors (see below), whose sum is σ = 12771876. Its totient is φ = 1013760.

The previous prime is 3802319. The next prime is 3802321. The reversal of 3802320 is 232083.

It is an interprime number because it is at equal distance from previous prime (3802319) and next prime (3802321).

It can be written as a sum of positive squares in 2 ways, for example, as 898704 + 2903616 = 948^2 + 1704^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3802293 and 3802302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3802321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1921 + ... + 3360.

Almost surely, 2^3802320 is an apocalyptic number.

3802320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3802320 is an abundant number, since it is smaller than the sum of its proper divisors (8969556).

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

3802320 is a wasteful number, since it uses less digits than its factorization.

3802320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5300 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3802320 is about 1949.9538456076. The cubic root of 3802320 is about 156.0808259657.

The spelling of 3802320 in words is "three million, eight hundred two thousand, three hundred twenty".