3900288 has 64 divisors (see below), whose sum is σ = 11848320. Its totient is φ = 1113600.

The previous prime is 3900287. The next prime is 3900307. The reversal of 3900288 is 8820093.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3900287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1963 + ... + 3413.

It is an arithmetic number, because the mean of its divisors is an integer number (185130).

Almost surely, 2^3900288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3900288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5924160).

3900288 is an abundant number, since it is smaller than the sum of its proper divisors (7948032).

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

3900288 is a wasteful number, since it uses less digits than its factorization.

3900288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 3900288 is about 1974.9146817015. The cubic root of 3900288 is about 157.4099661793.

The spelling of 3900288 in words is "three million, nine hundred thousand, two hundred eighty-eight".