3846876760320 has 864 divisors, whose sum is σ = 14266514583552. Its totient is φ = 881362944000.

The previous prime is 3846876760313. The next prime is 3846876760381. The reversal of 3846876760320 is 230676786483.

3846876760320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 619362015 + ... + 619368225.

Almost surely, 2^{3846876760320} is an apocalyptic number.

3846876760320 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 3846876760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7133257291776).

3846876760320 is an abundant number, since it is smaller than the sum of its proper divisors (10419637823232).

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

3846876760320 is a wasteful number, since it uses less digits than its factorization.

3846876760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331 (or 6306 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 3846876760320 in words is "three trillion, eight hundred forty-six billion, eight hundred seventy-six million, seven hundred sixty thousand, three hundred twenty".