366348096 has 140 divisors (see below), whose sum is σ = 1150127748. Its totient is φ = 114905088.

The previous prime is 366348083. The next prime is 366348107. The reversal of 366348096 is 690843663.

366348096 is a `hidden beast` number, since 3 + 6 + 634 + 8 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 228614400 + 137733696 = 15120^2 + 11736^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86050 + ... + 90206.

Almost surely, 2^366348096 is an apocalyptic number.

366348096 is a gapful number since it is divisible by the number (36) 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 366348096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575063874).

366348096 is an abundant number, since it is smaller than the sum of its proper divisors (783779652).

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

366348096 is a wasteful number, since it uses less digits than its factorization.

366348096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 366348096 is about 19140.2219422869. The cubic root of 366348096 is about 715.5357101489.

The spelling of 366348096 in words is "three hundred sixty-six million, three hundred forty-eight thousand, ninety-six".