3618707892800 has 1344 divisors, whose sum is σ = 12270462640128. Its totient is φ = 1022579712000.

The previous prime is 3618707892799. The next prime is 3618707892803. The reversal of 3618707892800 is 82987078163.

It is a self number, because there is not a number n which added to its sum of digits gives 3618707892800.

It is not an unprimeable number, because it can be changed into a prime (3618707892803) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13759345469 + ... + 13759345731.

It is an arithmetic number, because the mean of its divisors is an integer number (9129808512).

Almost surely, 2^{3618707892800} 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 3618707892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6135231320064).

3618707892800 is an abundant number, since it is smaller than the sum of its proper divisors (8651754747328).

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

3618707892800 is a wasteful number, since it uses less digits than its factorization.

3618707892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 59.

The spelling of 3618707892800 in words is "three trillion, six hundred eighteen billion, seven hundred seven million, eight hundred ninety-two thousand, eight hundred".