3564838102000 has 320 divisors, whose sum is σ = 10581322752000. Its totient is φ = 1157898067200.

The previous prime is 3564838101967. The next prime is 3564838102003. The reversal of 3564838102000 is 2018384653.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3564838102003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12897249 + ... + 13170751.

It is an arithmetic number, because the mean of its divisors is an integer number (33066633600).

Almost surely, 2^{3564838102000} 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 3564838102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5290661376000).

3564838102000 is an abundant number, since it is smaller than the sum of its proper divisors (7016484650000).

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

3564838102000 is a wasteful number, since it uses less digits than its factorization.

3564838102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273566 (or 273536 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 3564838102000 in words is "three trillion, five hundred sixty-four billion, eight hundred thirty-eight million, one hundred two thousand".