3926786688 has 384 divisors, whose sum is σ = 13366080000. Its totient is φ = 1135918080.

The previous prime is 3926786683. The next prime is 3926786693. The reversal of 3926786688 is 8866876293.

It is an interprime number because it is at equal distance from previous prime (3926786683) and next prime (3926786693).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (3926786681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7869063 + ... + 7869561.

It is an arithmetic number, because the mean of its divisors is an integer number (34807500).

Almost surely, 2^3926786688 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 3926786688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683040000).

3926786688 is an abundant number, since it is smaller than the sum of its proper divisors (9439293312).

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

3926786688 is a wasteful number, since it uses less digits than its factorization.

3926786688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 538 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The square root of 3926786688 is about 62664.0781309356. The cubic root of 3926786688 is about 1577.6564476399.

The spelling of 3926786688 in words is "three billion, nine hundred twenty-six million, seven hundred eighty-six thousand, six hundred eighty-eight".