365873760 has 480 divisors, whose sum is σ = 1529478720. Its totient is φ = 80621568.

The previous prime is 365873731. The next prime is 365873777. The reversal of 365873760 is 67378563.

365873760 is a `hidden beast` number, since 3 + 6 + 587 + 3 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3356586 + ... + 3356694.

It is an arithmetic number, because the mean of its divisors is an integer number (3186414).

Almost surely, 2^365873760 is an apocalyptic number.

365873760 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 365873760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764739360).

365873760 is an abundant number, since it is smaller than the sum of its proper divisors (1163604960).

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

365873760 is a wasteful number, since it uses less digits than its factorization.

365873760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 365873760 is about 19127.8268499064. The cubic root of 365873760 is about 715.2267590547.

365873760 divided by its sum of digits (45) gives a triangular number (8130528 = T₄₀₃₂).

The spelling of 365873760 in words is "three hundred sixty-five million, eight hundred seventy-three thousand, seven hundred sixty".