368812400000 has 384 divisors, whose sum is σ = 1012364892000. Its totient is φ = 132710400000.

The previous prime is 368812399999. The next prime is 368812400009. The reversal of 368812400000 is 4218863.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 368812400000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368812400009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479599616 + ... + 479600384.

Almost surely, 2^368812400000 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 368812400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506182446000).

368812400000 is an abundant number, since it is smaller than the sum of its proper divisors (643552492000).

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

368812400000 is an equidigital number, since it uses as much as digits as its factorization.

368812400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 368812400000 its reverse (4218863), we get a palindrome (368816618863).

The spelling of 368812400000 in words is "three hundred sixty-eight billion, eight hundred twelve million, four hundred thousand".