3782223124300 has 72 divisors (see below), whose sum is σ = 8303521259376. Its totient is φ = 1495251394560.

The previous prime is 3782223124289. The next prime is 3782223124307. The reversal of 3782223124300 is 34213222873.

It is a self number, because there is not a number n which added to its sum of digits gives 3782223124300.

It is not an unprimeable number, because it can be changed into a prime (3782223124307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3514807 + ... + 4462993.

It is an arithmetic number, because the mean of its divisors is an integer number (115326684158).

Almost surely, 2^{3782223124300} 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 3782223124300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151760629688).

3782223124300 is an abundant number, since it is smaller than the sum of its proper divisors (4521298135076).

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

3782223124300 is a wasteful number, since it uses less digits than its factorization.

3782223124300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948667 (or 948660 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 3782223124300 in words is "three trillion, seven hundred eighty-two billion, two hundred twenty-three million, one hundred twenty-four thousand, three hundred".