37641838860 has 120 divisors (see below), whose sum is σ = 118293551376. Its totient is φ = 10019998080.

The previous prime is 37641838853. The next prime is 37641838891. The reversal of 37641838860 is 6883814673.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 37641838797 and 37641838806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 904674 + ... + 945366.

Almost surely, 2^37641838860 is an apocalyptic number.

37641838860 is a gapful number since it is divisible by the number (30) 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 37641838860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59146775688).

37641838860 is an abundant number, since it is smaller than the sum of its proper divisors (80651712516).

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

37641838860 is a wasteful number, since it uses less digits than its factorization.

37641838860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41285 (or 41274 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 37641838860 in words is "thirty-seven billion, six hundred forty-one million, eight hundred thirty-eight thousand, eight hundred sixty".