363661416 has 72 divisors (see below), whose sum is σ = 1046320470. Its totient is φ = 114083328.

The previous prime is 363661393. The next prime is 363661423. The reversal of 363661416 is 614166363.

363661416 is a `hidden beast` number, since 3 + 6 + 36 + 614 + 1 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 322058916 + 41602500 = 17946^2 + 6450^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12070 + ... + 29546.

Almost surely, 2^363661416 is an apocalyptic number.

363661416 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 363661416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523160235).

363661416 is an abundant number, since it is smaller than the sum of its proper divisors (682659054).

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

363661416 is a wasteful number, since it uses less digits than its factorization.

363661416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17523 (or 17499 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 363661416 is about 19069.9086521147. The cubic root of 363661416 is about 713.7822465221.

The spelling of 363661416 in words is "three hundred sixty-three million, six hundred sixty-one thousand, four hundred sixteen".