363733664 has 96 divisors (see below), whose sum is σ = 862848000. Its totient is φ = 150716160.

The previous prime is 363733651. The next prime is 363733709. The reversal of 363733664 is 466337363.

363733664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339722 + ... + 340790.

It is an arithmetic number, because the mean of its divisors is an integer number (8988000).

Almost surely, 2^363733664 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 363733664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431424000).

363733664 is an abundant number, since it is smaller than the sum of its proper divisors (499114336).

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

363733664 is a wasteful number, since it uses less digits than its factorization.

363733664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1109 counting only the distinct ones).

The product of its digits is 489888, while the sum is 41.

The square root of 363733664 is about 19071.8028513300. The cubic root of 363733664 is about 713.8295120305.

The spelling of 363733664 in words is "three hundred sixty-three million, seven hundred thirty-three thousand, six hundred sixty-four".