3666667000 has 64 divisors (see below), whose sum is σ = 8592292800. Its totient is φ = 1464566400.

The previous prime is 3666666979. The next prime is 3666667001. The reversal of 3666667000 is 7666663.

It is a super-4 number, since 4×3666667000⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3666667001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826789 + ... + 831211.

It is an arithmetic number, because the mean of its divisors is an integer number (134254575).

Almost surely, 2^3666667000 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 3666667000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296146400).

3666667000 is an abundant number, since it is smaller than the sum of its proper divisors (4925625800).

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

3666667000 is a wasteful number, since it uses less digits than its factorization.

3666667000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5273 (or 5259 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The square root of 3666667000 is about 60553.0098343592. The cubic root of 3666667000 is about 1542.0217164555.

The spelling of 3666667000 in words is "three billion, six hundred sixty-six million, six hundred sixty-seven thousand".