363676872 has 128 divisors (see below), whose sum is σ = 1064448000. Its totient is φ = 102539520.

The previous prime is 363676813. The next prime is 363676879. The reversal of 363676872 is 278676363.

It is not an unprimeable number, because it can be changed into a prime (363676879) 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 31 ways as a sum of consecutive naturals, for example, 182779 + ... + 184757.

It is an arithmetic number, because the mean of its divisors is an integer number (8316000).

Almost surely, 2^363676872 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 363676872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532224000).

363676872 is an abundant number, since it is smaller than the sum of its proper divisors (700771128).

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

363676872 is a wasteful number, since it uses less digits than its factorization.

363676872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2047 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 48.

The square root of 363676872 is about 19070.3138935886. The cubic root of 363676872 is about 713.7923585491.

It can be divided in two parts, 3636 and 76872, that added together give a palindrome (80508).

The spelling of 363676872 in words is "three hundred sixty-three million, six hundred seventy-six thousand, eight hundred seventy-two".