3641618016 has 72 divisors (see below), whose sum is σ = 10525670064. Its totient is φ = 1193967360.

The previous prime is 3641618011. The next prime is 3641618017. The reversal of 3641618016 is 6108161463.

3641618016 is a `hidden beast` number, since 3 + 641 + 6 + 1 + 8 + 0 + 1 + 6 = 666.

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

It is a super-2 number, since 2×3641618016² = 26522763548911552512, which contains 22 as substring.

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 (3641618011) 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, 86076 + ... + 121211.

It is an arithmetic number, because the mean of its divisors is an integer number (146189862).

Almost surely, 2^3641618016 is an apocalyptic number.

3641618016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3641618016 is an abundant number, since it is smaller than the sum of its proper divisors (6884052048).

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

3641618016 is a wasteful number, since it uses less digits than its factorization.

3641618016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207364 (or 207353 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3641618016 is about 60345.8202032253. The cubic root of 3641618016 is about 1538.5022284848.

Adding to 3641618016 its reverse (6108161463), we get a palindrome (9749779479).

It can be divided in two parts, 36416 and 18016, that multiplied together give a palindrome (656070656).

The spelling of 3641618016 in words is "three billion, six hundred forty-one million, six hundred eighteen thousand, sixteen".