3540344952200 has 384 divisors, whose sum is σ = 10048285440000. Its totient is φ = 1157378745600.

The previous prime is 3540344952163. The next prime is 3540344952227. The reversal of 3540344952200 is 22594430453.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 522248411 + ... + 522255189.

It is an arithmetic number, because the mean of its divisors is an integer number (26167410000).

Almost surely, 2^{3540344952200} 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 3540344952200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5024142720000).

3540344952200 is an abundant number, since it is smaller than the sum of its proper divisors (6507940487800).

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

3540344952200 is a wasteful number, since it uses less digits than its factorization.

3540344952200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7170 (or 7147 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 3540344952200 in words is "three trillion, five hundred forty billion, three hundred forty-four million, nine hundred fifty-two thousand, two hundred".