366018240 has 336 divisors, whose sum is σ = 1401007104. Its totient is φ = 80640000.

The previous prime is 366018229. The next prime is 366018259. The reversal of 366018240 is 42810663.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 366018198 and 366018207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1458115 + ... + 1458365.

It is an arithmetic number, because the mean of its divisors is an integer number (4169664).

Almost surely, 2^366018240 is an apocalyptic number.

366018240 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 366018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700503552).

366018240 is an abundant number, since it is smaller than the sum of its proper divisors (1034988864).

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

366018240 is a wasteful number, since it uses less digits than its factorization.

366018240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 366018240 is about 19131.6031738064. The cubic root of 366018240 is about 715.3208920356.

The spelling of 366018240 in words is "three hundred sixty-six million, eighteen thousand, two hundred forty".