37661683429344 has 384 divisors, whose sum is σ = 114685724482560. Its totient is φ = 10730748542976.

The previous prime is 37661683429343. The next prime is 37661683429369. The reversal of 37661683429344 is 44392438616673.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37661683429343) 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 63 ways as a sum of consecutive naturals, for example, 139337722 + ... + 139607750.

It is an arithmetic number, because the mean of its divisors is an integer number (298660740840).

Almost surely, 2^{37661683429344} 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 37661683429344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57342862241280).

37661683429344 is an abundant number, since it is smaller than the sum of its proper divisors (77024041053216).

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

37661683429344 is a wasteful number, since it uses less digits than its factorization.

37661683429344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270234 (or 270226 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 66.

The spelling of 37661683429344 in words is "thirty-seven trillion, six hundred sixty-one billion, six hundred eighty-three million, four hundred twenty-nine thousand, three hundred forty-four".