363165696 has 288 divisors, whose sum is σ = 1188205200. Its totient is φ = 106168320.

The previous prime is 363165631. The next prime is 363165701. The reversal of 363165696 is 696561363.

363165696 is a `hidden beast` number, since 3 + 631 + 6 + 5 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5953506 + ... + 5953566.

Almost surely, 2^363165696 is an apocalyptic number.

363165696 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 363165696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594102600).

363165696 is an abundant number, since it is smaller than the sum of its proper divisors (825039504).

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

363165696 is a wasteful number, since it uses less digits than its factorization.

363165696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 363165696 is about 19056.9067794330. The cubic root of 363165696 is about 713.4577715965.

The spelling of 363165696 in words is "three hundred sixty-three million, one hundred sixty-five thousand, six hundred ninety-six".