3905880 has 96 divisors (see below), whose sum is σ = 12927600. Its totient is φ = 943360.

The previous prime is 3905879. The next prime is 3905911. The reversal of 3905880 is 885093.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14386 + ... + 14654.

Almost surely, 2^3905880 is an apocalyptic number.

3905880 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 3905880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6463800).

3905880 is an abundant number, since it is smaller than the sum of its proper divisors (9021720).

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

3905880 is a wasteful number, since it uses less digits than its factorization.

3905880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 3905880 is about 1976.3299319699. The cubic root of 3905880 is about 157.4851585914.

The spelling of 3905880 in words is "three million, nine hundred five thousand, eight hundred eighty".