3540686240 has 384 divisors, whose sum is σ = 10953169920. Its totient is φ = 1051066368.

The previous prime is 3540686239. The next prime is 3540686269. The reversal of 3540686240 is 426860453.

It is a junction number, because it is equal to n+sod(n) for n = 3540686194 and 3540686203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32483306 + ... + 32483414.

It is an arithmetic number, because the mean of its divisors is an integer number (28523880).

Almost surely, 2^3540686240 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 3540686240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5476584960).

3540686240 is an abundant number, since it is smaller than the sum of its proper divisors (7412483680).

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

3540686240 is a wasteful number, since it uses less digits than its factorization.

3540686240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 3540686240 is about 59503.6657694297. The cubic root of 3540686240 is about 1524.1550442399.

The spelling of 3540686240 in words is "three billion, five hundred forty million, six hundred eighty-six thousand, two hundred forty".