363401766 has 96 divisors (see below), whose sum is σ = 985228608. Its totient is φ = 94245120.

The previous prime is 363401743. The next prime is 363401767. The reversal of 363401766 is 667104363.

It is a happy number.

363401766 is a `hidden beast` number, since 3 + 634 + 0 + 17 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 363401766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363401767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98100 + ... + 101736.

It is an arithmetic number, because the mean of its divisors is an integer number (10262798).

Almost surely, 2^363401766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363401766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492614304).

363401766 is an abundant number, since it is smaller than the sum of its proper divisors (621826842).

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

363401766 is a wasteful number, since it uses less digits than its factorization.

363401766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 363401766 is about 19063.0995905703. The cubic root of 363401766 is about 713.6123286825.

The spelling of 363401766 in words is "three hundred sixty-three million, four hundred one thousand, seven hundred sixty-six".