368287920 has 720 divisors, whose sum is σ = 1713452832. Its totient is φ = 69672960.

The previous prime is 368287903. The next prime is 368287957. The reversal of 368287920 is 29782863.

368287920 is a `hidden beast` number, since 368 + 287 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5045004 + ... + 5045076.

Almost surely, 2^368287920 is an apocalyptic number.

368287920 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 368287920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856726416).

368287920 is an abundant number, since it is smaller than the sum of its proper divisors (1345164912).

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

368287920 is a wasteful number, since it uses less digits than its factorization.

368287920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 368287920 is about 19190.8290597358. The cubic root of 368287920 is about 716.7964151839.

The spelling of 368287920 in words is "three hundred sixty-eight million, two hundred eighty-seven thousand, nine hundred twenty".