3739105964832 has 384 divisors, whose sum is σ = 12015659335680. Its totient is φ = 993795194880.

The previous prime is 3739105964809. The next prime is 3739105964843. The reversal of 3739105964832 is 2384695019373.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 536684613 + ... + 536691579.

It is an arithmetic number, because the mean of its divisors is an integer number (31290779520).

It is a 1-persistent number, because it is pandigital, but 2⋅3739105964832 = 7478211929664 is not.

Almost surely, 2^{3739105964832} is an apocalyptic number.

3739105964832 is a gapful number since it is divisible by the number (32) 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 3739105964832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007829667840).

3739105964832 is an abundant number, since it is smaller than the sum of its proper divisors (8276553370848).

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

3739105964832 is a wasteful number, since it uses less digits than its factorization.

3739105964832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7544 (or 7536 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 3739105964832 in words is "three trillion, seven hundred thirty-nine billion, one hundred five million, nine hundred sixty-four thousand, eight hundred thirty-two".