3667335760 has 120 divisors (see below), whose sum is σ = 9404398080. Its totient is φ = 1328997120.

The previous prime is 3667335757. The next prime is 3667335769. The reversal of 3667335760 is 675337663.

It is a self number, because there is not a number n which added to its sum of digits gives 3667335760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667335769) 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, 4249089 + ... + 4249951.

It is an arithmetic number, because the mean of its divisors is an integer number (78369984).

Almost surely, 2^3667335760 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 3667335760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702199040).

3667335760 is an abundant number, since it is smaller than the sum of its proper divisors (5737062320).

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

3667335760 is a wasteful number, since it uses less digits than its factorization.

3667335760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 46.

The square root of 3667335760 is about 60558.5316862950. The cubic root of 3667335760 is about 1542.1154600610.

The spelling of 3667335760 in words is "three billion, six hundred sixty-seven million, three hundred thirty-five thousand, seven hundred sixty".