3823980 has 96 divisors (see below), whose sum is σ = 11902464. Its totient is φ = 912384.

The previous prime is 3823973. The next prime is 3823991. The reversal of 3823980 is 893283.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23379 + ... + 23541.

It is an arithmetic number, because the mean of its divisors is an integer number (123984).

Almost surely, 2^3823980 is an apocalyptic number.

3823980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 1955×1956.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3823980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951232).

3823980 is an abundant number, since it is smaller than the sum of its proper divisors (8078484).

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

3823980 is a wasteful number, since it uses less digits than its factorization.

3823980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3823980 is about 1955.4999360777. The cubic root of 3823980 is about 156.3766376016.

The spelling of 3823980 in words is "three million, eight hundred twenty-three thousand, nine hundred eighty".