37892981742 has 192 divisors, whose sum is σ = 103509446400. Its totient is φ = 9110707200.

The previous prime is 37892981723. The next prime is 37892981743. The reversal of 37892981742 is 24718929873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37892981743) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3348009 + ... + 3359307.

It is an arithmetic number, because the mean of its divisors is an integer number (539111700).

Almost surely, 2^37892981742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37892981742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51754723200).

37892981742 is an abundant number, since it is smaller than the sum of its proper divisors (65616464658).

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

37892981742 is a wasteful number, since it uses less digits than its factorization.

37892981742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11407 (or 11400 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 60.

The spelling of 37892981742 in words is "thirty-seven billion, eight hundred ninety-two million, nine hundred eighty-one thousand, seven hundred forty-two".