37934066016 has 576 divisors, whose sum is σ = 146607874560. Its totient is φ = 9268715520.

The previous prime is 37934066011. The next prime is 37934066039. The reversal of 37934066016 is 61066043973.

37934066016 is a `hidden beast` number, since 3 + 7 + 9 + 34 + 0 + 6 + 601 + 6 = 666.

It is a super-2 number, since 2×37934066016² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37934066011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19225606 + ... + 19227578.

It is an arithmetic number, because the mean of its divisors is an integer number (254527560).

Almost surely, 2^37934066016 is an apocalyptic number.

37934066016 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 37934066016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73303937280).

37934066016 is an abundant number, since it is smaller than the sum of its proper divisors (108673808544).

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

37934066016 is a wasteful number, since it uses less digits than its factorization.

37934066016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 37934066016 in words is "thirty-seven billion, nine hundred thirty-four million, sixty-six thousand, sixteen".