3984540 has 96 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 888576.

The previous prime is 3984521. The next prime is 3984587. The reversal of 3984540 is 454893.

It is a super-3 number, since 3×3984540³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22171 + ... + 22349.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 2^3984540 is an apocalyptic number.

3984540 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 3984540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

3984540 is an abundant number, since it is smaller than the sum of its proper divisors (9079140).

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

3984540 is a wasteful number, since it uses less digits than its factorization.

3984540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3984540 is about 1996.1312582092. The cubic root of 3984540 is about 158.5353309835.

The spelling of 3984540 in words is "three million, nine hundred eighty-four thousand, five hundred forty".