3864746303520 has 192 divisors, whose sum is σ = 12228564007296. Its totient is φ = 1025980497920.

The previous prime is 3864746303503. The next prime is 3864746303533. The reversal of 3864746303520 is 253036474683.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231538375 + ... + 231555065.

It is an arithmetic number, because the mean of its divisors is an integer number (63690437538).

Almost surely, 2^{3864746303520} is an apocalyptic number.

3864746303520 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 3864746303520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114282003648).

3864746303520 is an abundant number, since it is smaller than the sum of its proper divisors (8363817703776).

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

3864746303520 is a wasteful number, since it uses less digits than its factorization.

3864746303520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18843 (or 18835 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 51.

The spelling of 3864746303520 in words is "three trillion, eight hundred sixty-four billion, seven hundred forty-six million, three hundred three thousand, five hundred twenty".