3867706756368 has 400 divisors, whose sum is σ = 13799657487616. Its totient is φ = 1018418365440.

The previous prime is 3867706756351. The next prime is 3867706756411. The reversal of 3867706756368 is 8636576077683.

3867706756368 is a `hidden beast` number, since 38 + 67 + 70 + 67 + 56 + 368 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3867706756296 and 3867706756305.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 74391630 + ... + 74443602.

Almost surely, 2^{3867706756368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3867706756368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6899828743808).

3867706756368 is an abundant number, since it is smaller than the sum of its proper divisors (9931950731248).

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

3867706756368 is a wasteful number, since it uses less digits than its factorization.

3867706756368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52644 (or 52629 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 72.

The spelling of 3867706756368 in words is "three trillion, eight hundred sixty-seven billion, seven hundred six million, seven hundred fifty-six thousand, three hundred sixty-eight".