368767872 has 96 divisors (see below), whose sum is σ = 1157677560. Its totient is φ = 111744000.

The previous prime is 368767829. The next prime is 368767873. The reversal of 368767872 is 278767863.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368767873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1879 + ... + 27222.

Almost surely, 2^368767872 is an apocalyptic number.

368767872 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 368767872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578838780).

368767872 is an abundant number, since it is smaller than the sum of its proper divisors (788909688).

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

368767872 is a wasteful number, since it uses less digits than its factorization.

368767872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29132 (or 29117 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 368767872 is about 19203.3297112766. The cubic root of 368767872 is about 717.1076558528.

Subtracting from 368767872 its reverse (278767863), we obtain a palindrome (90000009).

The spelling of 368767872 in words is "three hundred sixty-eight million, seven hundred sixty-seven thousand, eight hundred seventy-two".