3712788661680 has 960 divisors, whose sum is σ = 15441808232448. Its totient is φ = 780076154880.

The previous prime is 3712788661661. The next prime is 3712788661691. The reversal of 3712788661680 is 861668872173.

3712788661680 is a `hidden beast` number, since 3 + 7 + 1 + 2 + 7 + 8 + 8 + 6 + 616 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3306133599 + ... + 3306134721.

Almost surely, 2^{3712788661680} is an apocalyptic number.

3712788661680 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 3712788661680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7720904116224).

3712788661680 is an abundant number, since it is smaller than the sum of its proper divisors (11729019570768).

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

3712788661680 is a wasteful number, since it uses less digits than its factorization.

3712788661680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 3712788661680 in words is "three trillion, seven hundred twelve billion, seven hundred eighty-eight million, six hundred sixty-one thousand, six hundred eighty".