3726214506336 has 192 divisors, whose sum is σ = 11840266368000. Its totient is φ = 1001663938560.

The previous prime is 3726214506299. The next prime is 3726214506409. The reversal of 3726214506336 is 6336054126273.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34206196 + ... + 34314956.

It is an arithmetic number, because the mean of its divisors is an integer number (61668054000).

Almost surely, 2^{3726214506336} 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 3726214506336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5920133184000).

3726214506336 is an abundant number, since it is smaller than the sum of its proper divisors (8114051861664).

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

3726214506336 is a wasteful number, since it uses less digits than its factorization.

3726214506336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111797 (or 111789 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 48.

The spelling of 3726214506336 in words is "three trillion, seven hundred twenty-six billion, two hundred fourteen million, five hundred six thousand, three hundred thirty-six".