3700681071648 has 288 divisors, whose sum is σ = 10768878489600. Its totient is φ = 1111863836160.

The previous prime is 3700681071641. The next prime is 3700681071709. The reversal of 3700681071648 is 8461701860073.

3700681071648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3700681071648.

It is not an unprimeable number, because it can be changed into a prime (3700681071641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2103854193 + ... + 2103855951.

It is an arithmetic number, because the mean of its divisors is an integer number (37391939200).

Almost surely, 2^{3700681071648} 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 3700681071648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5384439244800).

3700681071648 is an abundant number, since it is smaller than the sum of its proper divisors (7068197417952).

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

3700681071648 is a wasteful number, since it uses less digits than its factorization.

3700681071648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 3700681071648 in words is "three trillion, seven hundred billion, six hundred eighty-one million, seventy-one thousand, six hundred forty-eight".