3667618944 has 192 divisors, whose sum is σ = 12120170400. Its totient is φ = 1052835840.

The previous prime is 3667618943. The next prime is 3667618973. The reversal of 3667618944 is 4498167663.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (3667618943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233152 + ... + 248384.

Almost surely, 2^3667618944 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 3667618944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6060085200).

3667618944 is an abundant number, since it is smaller than the sum of its proper divisors (8452551456).

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

3667618944 is a wasteful number, since it uses less digits than its factorization.

3667618944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15283 (or 15268 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3667618944 is about 60560.8697427638. The cubic root of 3667618944 is about 1542.1551520166.

The spelling of 3667618944 in words is "three billion, six hundred sixty-seven million, six hundred eighteen thousand, nine hundred forty-four".