3890880 has 168 divisors, whose sum is σ = 15374112. Its totient is φ = 884736.

The previous prime is 3890879. The next prime is 3890927. The reversal of 3890880 is 880983.

It is a tau number, because it is divible by the number of its divisors (168).

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

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, 20064 + ... + 20256.

Almost surely, 2^3890880 is an apocalyptic number.

3890880 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 3890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7687056).

3890880 is an abundant number, since it is smaller than the sum of its proper divisors (11483232).

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

3890880 is a wasteful number, since it uses less digits than its factorization.

3890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 3890880 is about 1972.5313685719. The cubic root of 3890880 is about 157.2832998683.

The spelling of 3890880 in words is "three million, eight hundred ninety thousand, eight hundred eighty".