3923849502720 has 2688 divisors, whose sum is σ = 17714400537600. Its totient is φ = 818685149184.

The previous prime is 3923849502649. The next prime is 3923849502721. The reversal of 3923849502720 is 272059483293.

3923849502720 is a `hidden beast` number, since 3 + 9 + 23 + 8 + 49 + 502 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3923849502721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38095626189 + ... + 38095626291.

Almost surely, 2^{3923849502720} is an apocalyptic number.

3923849502720 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 3923849502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8857200268800).

3923849502720 is an abundant number, since it is smaller than the sum of its proper divisors (13790551034880).

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

3923849502720 is a wasteful number, since it uses less digits than its factorization.

3923849502720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3923849502720 in words is "three trillion, nine hundred twenty-three billion, eight hundred forty-nine million, five hundred two thousand, seven hundred twenty".