3879600 has 120 divisors (see below), whose sum is σ = 12869712. Its totient is φ = 998400.

The previous prime is 3879593. The next prime is 3879607. The reversal of 3879600 is 69783.

It is a happy number.

3879600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3879593) and next prime (3879607).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (3879607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63570 + ... + 63630.

Almost surely, 2^3879600 is an apocalyptic number.

3879600 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 3879600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434856).

3879600 is an abundant number, since it is smaller than the sum of its proper divisors (8990112).

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

3879600 is a wasteful number, since it uses less digits than its factorization.

3879600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 3879600 is about 1969.6700231257. The cubic root of 3879600 is about 157.1311600896.

The spelling of 3879600 in words is "three million, eight hundred seventy-nine thousand, six hundred".