3741749846016 has 672 divisors, whose sum is σ = 12696056440704. Its totient is φ = 954453196800.

The previous prime is 3741749845993. The next prime is 3741749846027. The reversal of 3741749846016 is 6106489471473.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3741749846016² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2149194906 + ... + 2149196646.

It is an arithmetic number, because the mean of its divisors is an integer number (18892941132).

Almost surely, 2^{3741749846016} 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 3741749846016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348028220352).

3741749846016 is an abundant number, since it is smaller than the sum of its proper divisors (8954306594688).

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

3741749846016 is a wasteful number, since it uses less digits than its factorization.

3741749846016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 3741749846016 in words is "three trillion, seven hundred forty-one billion, seven hundred forty-nine million, eight hundred forty-six thousand, sixteen".