3685662756832 has 96 divisors (see below), whose sum is σ = 8391875788800. Its totient is φ = 1560712209408.

The previous prime is 3685662756733. The next prime is 3685662756833. The reversal of 3685662756832 is 2386572665863.

It is a happy number.

3685662756832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3685662756833) 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, 28303969 + ... + 28433887.

It is an arithmetic number, because the mean of its divisors is an integer number (87415372800).

Almost surely, 2^{3685662756832} is an apocalyptic number.

3685662756832 is a gapful number since it is divisible by the number (32) 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 3685662756832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195937894400).

3685662756832 is an abundant number, since it is smaller than the sum of its proper divisors (4706213031968).

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

3685662756832 is a wasteful number, since it uses less digits than its factorization.

3685662756832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131448 (or 131440 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 67.

The spelling of 3685662756832 in words is "three trillion, six hundred eighty-five billion, six hundred sixty-two million, seven hundred fifty-six thousand, eight hundred thirty-two".