364378560 has 448 divisors, whose sum is σ = 1472013312. Its totient is φ = 74317824.

The previous prime is 364378537. The next prime is 364378577. The reversal of 364378560 is 65873463.

364378560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 3756432 + ... + 3756528.

It is an arithmetic number, because the mean of its divisors is an integer number (3285744).

Almost surely, 2^364378560 is an apocalyptic number.

364378560 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 364378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736006656).

364378560 is an abundant number, since it is smaller than the sum of its proper divisors (1107634752).

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

364378560 is a wasteful number, since it uses less digits than its factorization.

364378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 364378560 is about 19088.7024179225. The cubic root of 364378560 is about 714.2511337164.

The spelling of 364378560 in words is "three hundred sixty-four million, three hundred seventy-eight thousand, five hundred sixty".