3540708909504 has 672 divisors, whose sum is σ = 11474248181760. Its totient is φ = 1036725018624.

The previous prime is 3540708909473. The next prime is 3540708909589. The reversal of 3540708909504 is 4059098070453.

3540708909504 is a `hidden beast` number, since 3 + 5 + 40 + 7 + 0 + 8 + 90 + 9 + 504 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2460533617 + ... + 2460535055.

It is an arithmetic number, because the mean of its divisors is an integer number (17074774080).

Almost surely, 2^{3540708909504} 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 3540708909504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737124090880).

3540708909504 is an abundant number, since it is smaller than the sum of its proper divisors (7933539272256).

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

3540708909504 is a wasteful number, since it uses less digits than its factorization.

3540708909504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 3540708909504 in words is "three trillion, five hundred forty billion, seven hundred eight million, nine hundred nine thousand, five hundred four".