369307872 has 144 divisors (see below), whose sum is σ = 1107025920. Its totient is φ = 116557056.

The previous prime is 369307871. The next prime is 369307877. The reversal of 369307872 is 278703963.

It is a happy number.

369307872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369307871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 841029 + ... + 841467.

It is an arithmetic number, because the mean of its divisors is an integer number (7687680).

Almost surely, 2^369307872 is an apocalyptic number.

369307872 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 369307872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553512960).

369307872 is an abundant number, since it is smaller than the sum of its proper divisors (737718048).

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

369307872 is a wasteful number, since it uses less digits than its factorization.

369307872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 369307872 is about 19217.3846295483. The cubic root of 369307872 is about 717.4575139448.

The spelling of 369307872 in words is "three hundred sixty-nine million, three hundred seven thousand, eight hundred seventy-two".