37746261168 has 320 divisors, whose sum is σ = 132882923520. Its totient is φ = 8929382400.

The previous prime is 37746261167. The next prime is 37746261221. The reversal of 37746261168 is 86116264773.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 37746261168.

It is not an unprimeable number, because it can be changed into a prime (37746261167) 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 63 ways as a sum of consecutive naturals, for example, 1938103 + ... + 1957481.

It is an arithmetic number, because the mean of its divisors is an integer number (415259136).

Almost surely, 2^37746261168 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 37746261168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66441461760).

37746261168 is an abundant number, since it is smaller than the sum of its proper divisors (95136662352).

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

37746261168 is a wasteful number, since it uses less digits than its factorization.

37746261168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19456 (or 19450 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The spelling of 37746261168 in words is "thirty-seven billion, seven hundred forty-six million, two hundred sixty-one thousand, one hundred sixty-eight".