3879900 has 90 divisors (see below), whose sum is σ = 12603360. Its totient is φ = 1032480.

The previous prime is 3879853. The next prime is 3879913. The reversal of 3879900 is 99783.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7861 + ... + 8339.

Almost surely, 2^3879900 is an apocalyptic number.

3879900 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 3879900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301680).

3879900 is an abundant number, since it is smaller than the sum of its proper divisors (8723460).

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

3879900 is a wasteful number, since it uses less digits than its factorization.

3879900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 3879900 is about 1969.7461765415. The cubic root of 3879900 is about 157.1352101749.

The spelling of 3879900 in words is "three million, eight hundred seventy-nine thousand, nine hundred".