3667397760 has 768 divisors, whose sum is σ = 14996741760. Its totient is φ = 817496064.

The previous prime is 3667397753. The next prime is 3667397791. The reversal of 3667397760 is 677937663.

It is a junction number, because it is equal to n+sod(n) for n = 3667397697 and 3667397706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54737247 + ... + 54737313.

Almost surely, 2^3667397760 is an apocalyptic number.

3667397760 is a gapful number since it is divisible by the number (30) 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 3667397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7498370880).

3667397760 is an abundant number, since it is smaller than the sum of its proper divisors (11329344000).

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

3667397760 is a wasteful number, since it uses less digits than its factorization.

3667397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 6001128, while the sum is 54.

The square root of 3667397760 is about 60559.0435855785. The cubic root of 3667397760 is about 1542.1241503497.

The spelling of 3667397760 in words is "three billion, six hundred sixty-seven million, three hundred ninety-seven thousand, seven hundred sixty".