363983648 has 192 divisors, whose sum is σ = 919683072. Its totient is φ = 138378240.

The previous prime is 363983629. The next prime is 363983657. The reversal of 363983648 is 846389363.

It is a super-2 number, since 2×363983648² = 264968192022775808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 363983596 and 363983605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6867590 + ... + 6867642.

It is an arithmetic number, because the mean of its divisors is an integer number (4790016).

Almost surely, 2^363983648 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 363983648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459841536).

363983648 is an abundant number, since it is smaller than the sum of its proper divisors (555699424).

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

363983648 is a wasteful number, since it uses less digits than its factorization.

363983648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 50.

The square root of 363983648 is about 19078.3554846847. The cubic root of 363983648 is about 713.9930062844.

The spelling of 363983648 in words is "three hundred sixty-three million, nine hundred eighty-three thousand, six hundred forty-eight".