3901685760000 has 1800 divisors, whose sum is σ = 16991306432100. Its totient is φ = 891813888000.

The previous prime is 3901685759999. The next prime is 3901685760041. The reversal of 3901685760000 is 675861093.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3901685760000 is a `hidden beast` number, since 39 + 0 + 1 + 6 + 8 + 5 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 557383679997 + ... + 557383680003.

Almost surely, 2^{3901685760000} is an apocalyptic number.

3901685760000 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 3901685760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8495653216050).

3901685760000 is an abundant number, since it is smaller than the sum of its proper divisors (13089620672100).

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

3901685760000 is an frugal number, since it uses more digits than its factorization.

3901685760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 3901685760000 in words is "three trillion, nine hundred one billion, six hundred eighty-five million, seven hundred sixty thousand".