3666677760 has 416 divisors, whose sum is σ = 13760880000. Its totient is φ = 923664384.

The previous prime is 3666677671. The next prime is 3666677761. The reversal of 3666677760 is 677766663.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3666677697 and 3666677706.

It is not an unprimeable number, because it can be changed into a prime (3666677761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10506066 + ... + 10506414.

Almost surely, 2^3666677760 is an apocalyptic number.

3666677760 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 3666677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6880440000).

3666677760 is an abundant number, since it is smaller than the sum of its proper divisors (10094202240).

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

3666677760 is a wasteful number, since it uses less digits than its factorization.

3666677760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 54.

The square root of 3666677760 is about 60553.0986820658. The cubic root of 3666677760 is about 1542.0232248315.

The spelling of 3666677760 in words is "three billion, six hundred sixty-six million, six hundred seventy-seven thousand, seven hundred sixty".