364688400384 has 1792 divisors, whose sum is σ = 1509857280000. Its totient is φ = 85837086720.

The previous prime is 364688400383. The next prime is 364688400397. The reversal of 364688400384 is 483004886463.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 364688400384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364688400383) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15856017397 + ... + 15856017419.

Almost surely, 2^364688400384 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 364688400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754928640000).

364688400384 is an abundant number, since it is smaller than the sum of its proper divisors (1145168879616).

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

364688400384 is a wasteful number, since it uses less digits than its factorization.

364688400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 364688400384 in words is "three hundred sixty-four billion, six hundred eighty-eight million, four hundred thousand, three hundred eighty-four".