3806261673984 has 1056 divisors, whose sum is σ = 14363440955136. Its totient is φ = 978447237120.

The previous prime is 3806261673967. The next prime is 3806261674013. The reversal of 3806261673984 is 4893761626083.

3806261673984 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 2 + 616 + 7 + 3 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39239811024 + ... + 39239811120.

Almost surely, 2^{3806261673984} 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 3806261673984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7181720477568).

3806261673984 is an abundant number, since it is smaller than the sum of its proper divisors (10557179281152).

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

3806261673984 is an frugal number, since it uses more digits than its factorization.

3806261673984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 3806261673984 in words is "three trillion, eight hundred six billion, two hundred sixty-one million, six hundred seventy-three thousand, nine hundred eighty-four".