3540312960 has 128 divisors (see below), whose sum is σ = 11374387200. Its totient is φ = 936585216.

The previous prime is 3540312949. The next prime is 3540312967. The reversal of 3540312960 is 692130453.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3540312967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236581 + ... + 251099.

It is an arithmetic number, because the mean of its divisors is an integer number (88862400).

Almost surely, 2^3540312960 is an apocalyptic number.

3540312960 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 3540312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687193600).

3540312960 is an abundant number, since it is smaller than the sum of its proper divisors (7834074240).

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

3540312960 is a wasteful number, since it uses less digits than its factorization.

3540312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14668 (or 14656 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 3540312960 is about 59500.5290732780. The cubic root of 3540312960 is about 1524.1014805565.

The spelling of 3540312960 in words is "three billion, five hundred forty million, three hundred twelve thousand, nine hundred sixty".