3895584 has 192 divisors, whose sum is σ = 13934592. Its totient is φ = 921600.

The previous prime is 3895583. The next prime is 3895597. The reversal of 3895584 is 4855983.

3895584 = 217² + 218² + ... + 279².

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3895583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125649 + ... + 125679.

It is an arithmetic number, because the mean of its divisors is an integer number (72576).

Almost surely, 2^3895584 is an apocalyptic number.

3895584 is a gapful number since it is divisible by the number (34) 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 3895584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967296).

3895584 is an abundant number, since it is smaller than the sum of its proper divisors (10039008).

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

3895584 is a wasteful number, since it uses less digits than its factorization.

3895584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 3895584 is about 1973.7233848744. The cubic root of 3895584 is about 157.3466585158.

The spelling of 3895584 in words is "three million, eight hundred ninety-five thousand, five hundred eighty-four".