364746816 has 168 divisors, whose sum is σ = 1215241664. Its totient is φ = 102435840.

The previous prime is 364746803. The next prime is 364746817. The reversal of 364746816 is 618647463.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (364746817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245211 + ... + 246693.

Almost surely, 2^364746816 is an apocalyptic number.

364746816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364746816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607620832).

364746816 is an abundant number, since it is smaller than the sum of its proper divisors (850494848).

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

364746816 is a wasteful number, since it uses less digits than its factorization.

364746816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1556 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 364746816 is about 19098.3458969619. The cubic root of 364746816 is about 714.4916699200.

The spelling of 364746816 in words is "three hundred sixty-four million, seven hundred forty-six thousand, eight hundred sixteen".