364304640 has 144 divisors (see below), whose sum is σ = 1329810048. Its totient is φ = 83263488.

The previous prime is 364304623. The next prime is 364304671. The reversal of 364304640 is 46403463.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 364304598 and 364304607.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20104 + ... + 33656.

It is an arithmetic number, because the mean of its divisors is an integer number (9234792).

Almost surely, 2^364304640 is an apocalyptic number.

364304640 is a gapful number since it is divisible by the number (30) 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 364304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664905024).

364304640 is an abundant number, since it is smaller than the sum of its proper divisors (965505408).

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

364304640 is a wasteful number, since it uses less digits than its factorization.

364304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13584 (or 13570 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 364304640 is about 19086.7660959105. The cubic root of 364304640 is about 714.2028313734.

The spelling of 364304640 in words is "three hundred sixty-four million, three hundred four thousand, six hundred forty".