363848352 has 96 divisors (see below), whose sum is σ = 1106646912. Its totient is φ = 102518784.

The previous prime is 363848351. The next prime is 363848357. The reversal of 363848352 is 253848363.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (363848351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45348 + ... + 52764.

It is an arithmetic number, because the mean of its divisors is an integer number (11527572).

Almost surely, 2^363848352 is an apocalyptic number.

363848352 is a gapful number since it is divisible by the number (32) 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 363848352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553323456).

363848352 is an abundant number, since it is smaller than the sum of its proper divisors (742798560).

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

363848352 is a wasteful number, since it uses less digits than its factorization.

363848352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7510 (or 7502 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 363848352 is about 19074.8093568455. The cubic root of 363848352 is about 713.9045294440.

The spelling of 363848352 in words is "three hundred sixty-three million, eight hundred forty-eight thousand, three hundred fifty-two".