3666718440 has 768 divisors, whose sum is σ = 16303472640. Its totient is φ = 691200000.

The previous prime is 3666718411. The next prime is 3666718481. The reversal of 3666718440 is 448176663.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14608315 + ... + 14608565.

It is an arithmetic number, because the mean of its divisors is an integer number (21228480).

Almost surely, 2^3666718440 is an apocalyptic number.

3666718440 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 3666718440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8151736320).

3666718440 is an abundant number, since it is smaller than the sum of its proper divisors (12636754200).

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

3666718440 is a wasteful number, since it uses less digits than its factorization.

3666718440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3666718440 is about 60553.4345846708. The cubic root of 3666718440 is about 1542.0289274754.

The spelling of 3666718440 in words is "three billion, six hundred sixty-six million, seven hundred eighteen thousand, four hundred forty".