363871872 has 384 divisors, whose sum is σ = 1343952000. Its totient is φ = 94887936.

The previous prime is 363871817. The next prime is 363871873. The reversal of 363871872 is 278178363.

363871872 is a `hidden beast` number, since 3 + 638 + 7 + 1 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (363871873) 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, 4088404 + ... + 4088492.

It is an arithmetic number, because the mean of its divisors is an integer number (3499875).

Almost surely, 2^363871872 is an apocalyptic number.

363871872 is a gapful number since it is divisible by the number (32) 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 363871872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671976000).

363871872 is an abundant number, since it is smaller than the sum of its proper divisors (980080128).

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

363871872 is a wasteful number, since it uses less digits than its factorization.

363871872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 363871872 is about 19075.4258668057. The cubic root of 363871872 is about 713.9199119265.

The spelling of 363871872 in words is "three hundred sixty-three million, eight hundred seventy-one thousand, eight hundred seventy-two".