364391434944 has 448 divisors, whose sum is σ = 1152314688000. Its totient is φ = 112571596800.

The previous prime is 364391434937. The next prime is 364391434973. The reversal of 364391434944 is 449434193463.

364391434944 is a `hidden beast` number, since 3 + 6 + 4 + 3 + 9 + 143 + 494 + 4 = 666.

It is a super-2 number, since 2×364391434944² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 606308244 + ... + 606308844.

It is an arithmetic number, because the mean of its divisors is an integer number (2572131000).

Almost surely, 2^364391434944 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 364391434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576157344000).

364391434944 is an abundant number, since it is smaller than the sum of its proper divisors (787923253056).

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

364391434944 is a wasteful number, since it uses less digits than its factorization.

364391434944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 997 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 364391434944 in words is "three hundred sixty-four billion, three hundred ninety-one million, four hundred thirty-four thousand, nine hundred forty-four".