363394152 has 288 divisors, whose sum is σ = 1198229760. Its totient is φ = 98496000.

The previous prime is 363394151. The next prime is 363394153. The reversal of 363394152 is 251493363.

It is a happy number.

363394152 is a `hidden beast` number, since 3 + 633 + 9 + 4 + 15 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (363394151) and next prime (363394153).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (363394151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8863252 + ... + 8863292.

It is an arithmetic number, because the mean of its divisors is an integer number (4160520).

Almost surely, 2^363394152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363394152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599114880).

363394152 is an abundant number, since it is smaller than the sum of its proper divisors (834835608).

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

363394152 is a wasteful number, since it uses less digits than its factorization.

363394152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 363394152 is about 19062.8998843303. The cubic root of 363394152 is about 713.6073447752.

The spelling of 363394152 in words is "three hundred sixty-three million, three hundred ninety-four thousand, one hundred fifty-two".