3736906126086 has 256 divisors, whose sum is σ = 9617242521600. Its totient is φ = 943524288000.

The previous prime is 3736906126081. The next prime is 3736906126087. The reversal of 3736906126086 is 6806216096373.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3736906126081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 461285436 + ... + 461293536.

It is an arithmetic number, because the mean of its divisors is an integer number (37567353600).

Almost surely, 2^{3736906126086} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3736906126086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808621260800).

3736906126086 is an abundant number, since it is smaller than the sum of its proper divisors (5880336395514).

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

3736906126086 is a wasteful number, since it uses less digits than its factorization.

3736906126086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8835.

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 3736906126086 in words is "three trillion, seven hundred thirty-six billion, nine hundred six million, one hundred twenty-six thousand, eighty-six".