361253916 has 72 divisors (see below), whose sum is σ = 1003067520. Its totient is φ = 109115424.

The previous prime is 361253909. The next prime is 361253917. The reversal of 361253916 is 619352163.

361253916 is a `hidden beast` number, since 3 + 612 + 5 + 39 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361253917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4251 + ... + 27213.

Almost surely, 2^361253916 is an apocalyptic number.

361253916 is a gapful number since it is divisible by the number (36) 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 361253916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501533760).

361253916 is an abundant number, since it is smaller than the sum of its proper divisors (641813604).

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

361253916 is a wasteful number, since it uses less digits than its factorization.

361253916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23015 (or 23010 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 361253916 is about 19006.6808254361. The cubic root of 361253916 is about 712.2036381499.

The spelling of 361253916 in words is "three hundred sixty-one million, two hundred fifty-three thousand, nine hundred sixteen".