363377664 has 220 divisors, whose sum is σ = 1172054884. Its totient is φ = 111476736.

The previous prime is 363377657. The next prime is 363377681. The reversal of 363377664 is 466773363.

363377664 is a `hidden beast` number, since 3 + 633 + 7 + 7 + 6 + 6 + 4 = 666.

363377664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 74649600 + 288728064 = 8640^2 + 16992^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1078104 + ... + 1078440.

Almost surely, 2^363377664 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 363377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586027442).

363377664 is an abundant number, since it is smaller than the sum of its proper divisors (808677220).

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

363377664 is a wasteful number, since it uses less digits than its factorization.

363377664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 355 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 45.

The square root of 363377664 is about 19062.4674163656. The cubic root of 363377664 is about 713.5965519617.

The spelling of 363377664 in words is "three hundred sixty-three million, three hundred seventy-seven thousand, six hundred sixty-four".