3846920 has 64 divisors (see below), whose sum is σ = 10800000. Its totient is φ = 1198080.

The previous prime is 3846917. The next prime is 3846929. The reversal of 3846920 is 296483.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3846929) 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, 2456 + ... + 3704.

It is an arithmetic number, because the mean of its divisors is an integer number (168750).

Almost surely, 2^3846920 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 3846920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400000).

3846920 is an abundant number, since it is smaller than the sum of its proper divisors (6953080).

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

3846920 is a wasteful number, since it uses less digits than its factorization.

3846920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 3846920 is about 1961.3566733259. The cubic root of 3846920 is about 156.6887147683.

The spelling of 3846920 in words is "three million, eight hundred forty-six thousand, nine hundred twenty".