363138048 has 264 divisors, whose sum is σ = 1293507488. Its totient is φ = 95551488.

The previous prime is 363138011. The next prime is 363138079. The reversal of 363138048 is 840831363.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838440 + ... + 838872.

Almost surely, 2^363138048 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 363138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646753744).

363138048 is an abundant number, since it is smaller than the sum of its proper divisors (930369440).

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

363138048 is a wasteful number, since it uses less digits than its factorization.

363138048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 363138048 is about 19056.1813593385. The cubic root of 363138048 is about 713.4396658289.

The spelling of 363138048 in words is "three hundred sixty-three million, one hundred thirty-eight thousand, forty-eight".