361139616 has 72 divisors (see below), whose sum is σ = 1030220100. Its totient is φ = 120001536.

The previous prime is 361139591. The next prime is 361139617. The reversal of 361139616 is 616931163.

361139616 is a `hidden beast` number, since 3 + 6 + 1 + 1 + 39 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 360848016 + 291600 = 18996^2 + 540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (361139617) 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, 98716 + ... + 102308.

Almost surely, 2^361139616 is an apocalyptic number.

361139616 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 361139616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515110050).

361139616 is an abundant number, since it is smaller than the sum of its proper divisors (669080484).

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

361139616 is a wasteful number, since it uses less digits than its factorization.

361139616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3947 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 361139616 is about 19003.6737500937. The cubic root of 361139616 is about 712.1285169686.

The spelling of 361139616 in words is "three hundred sixty-one million, one hundred thirty-nine thousand, six hundred sixteen".