3817920 has 112 divisors (see below), whose sum is σ = 12545568. Its totient is φ = 983040.

The previous prime is 3817907. The next prime is 3817939. The reversal of 3817920 is 297183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 39312 + ... + 39408.

It is an arithmetic number, because the mean of its divisors is an integer number (112014).

Almost surely, 2^3817920 is an apocalyptic number.

3817920 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 3817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272784).

3817920 is an abundant number, since it is smaller than the sum of its proper divisors (8727648).

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

3817920 is a wasteful number, since it uses less digits than its factorization.

3817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 3817920 is about 1953.9498458251. The cubic root of 3817920 is about 156.2939886815.

The spelling of 3817920 in words is "three million, eight hundred seventeen thousand, nine hundred twenty".