363887640 has 112 divisors (see below), whose sum is σ = 1227657600. Its totient is φ = 97028928.

The previous prime is 363887603. The next prime is 363887647. The reversal of 363887640 is 46788363.

363887640 is a `hidden beast` number, since 3 + 638 + 8 + 7 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363887647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 22921 + ... + 35399.

Almost surely, 2^363887640 is an apocalyptic number.

363887640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363887640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613828800).

363887640 is an abundant number, since it is smaller than the sum of its proper divisors (863769960).

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

363887640 is a wasteful number, since it uses less digits than its factorization.

363887640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12508 (or 12489 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 363887640 is about 19075.8391689593. The cubic root of 363887640 is about 713.9302240972.

The spelling of 363887640 in words is "three hundred sixty-three million, eight hundred eighty-seven thousand, six hundred forty".