3706391527776 has 1008 divisors, whose sum is σ = 13685246991360. Its totient is φ = 981617978880.

The previous prime is 3706391527739. The next prime is 3706391527777. The reversal of 3706391527776 is 6777251936073.

It is a happy number.

3706391527776 is a `hidden beast` number, since 3 + 7 + 0 + 6 + 39 + 1 + 527 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×3706391527776² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3706391527777) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1020761481 + ... + 1020765111.

It is an arithmetic number, because the mean of its divisors is an integer number (13576633920).

Almost surely, 2^{3706391527776} is an apocalyptic number.

3706391527776 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 3706391527776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6842623495680).

3706391527776 is an abundant number, since it is smaller than the sum of its proper divisors (9978855463584).

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

3706391527776 is a wasteful number, since it uses less digits than its factorization.

3706391527776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 70013160, while the sum is 63.

The spelling of 3706391527776 in words is "three trillion, seven hundred six billion, three hundred ninety-one million, five hundred twenty-seven thousand, seven hundred seventy-six".