3540096 has 96 divisors (see below), whose sum is σ = 11668800. Its totient is φ = 1009152.

The previous prime is 3540077. The next prime is 3540101. The reversal of 3540096 is 6900453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7845 + ... + 8283.

It is an arithmetic number, because the mean of its divisors is an integer number (121550).

Almost surely, 2^3540096 is an apocalyptic number.

3540096 is a gapful number since it is divisible by the number (36) 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 3540096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5834400).

3540096 is an abundant number, since it is smaller than the sum of its proper divisors (8128704).

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

3540096 is a wasteful number, since it uses less digits than its factorization.

3540096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3540096 is about 1881.5142837619. The cubic root of 3540096 is about 152.4070346227.

The spelling of 3540096 in words is "three million, five hundred forty thousand, ninety-six".