3876486356736 has 756 divisors, whose sum is σ = 13682776881312. Its totient is φ = 1092207255552.

The previous prime is 3876486356731. The next prime is 3876486356749. The reversal of 3876486356736 is 6376536846783.

3876486356736 is a `hidden beast` number, since 3 + 8 + 76 + 486 + 3 + 5 + 6 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3876486356731) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 667551145 + ... + 667556951.

Almost surely, 2^{3876486356736} is an apocalyptic number.

3876486356736 is a gapful number since it is divisible by the number (36) 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 3876486356736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6841388440656).

3876486356736 is an abundant number, since it is smaller than the sum of its proper divisors (9806290524576).

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

3876486356736 is an frugal number, since it uses more digits than its factorization.

3876486356736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5928 (or 5892 counting only the distinct ones).

The product of its digits is 2194698240, while the sum is 72.

The spelling of 3876486356736 in words is "three trillion, eight hundred seventy-six billion, four hundred eighty-six million, three hundred fifty-six thousand, seven hundred thirty-six".