365661296 has 240 divisors, whose sum is σ = 1023267840. Its totient is φ = 122204160.

The previous prime is 365661281. The next prime is 365661299. The reversal of 365661296 is 692166563.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365661299) 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, 4628585 + ... + 4628663.

It is an arithmetic number, because the mean of its divisors is an integer number (4263616).

Almost surely, 2^365661296 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 365661296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511633920).

365661296 is an abundant number, since it is smaller than the sum of its proper divisors (657606544).

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

365661296 is a wasteful number, since it uses less digits than its factorization.

365661296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its digits is 349920, while the sum is 44.

The square root of 365661296 is about 19122.2722499184. The cubic root of 365661296 is about 715.0882874662.

The spelling of 365661296 in words is "three hundred sixty-five million, six hundred sixty-one thousand, two hundred ninety-six".