37749583872 has 1248 divisors, whose sum is σ = 156176814080. Its totient is φ = 8758886400.

The previous prime is 37749583867. The next prime is 37749583873. The reversal of 37749583872 is 27838594773.

37749583872 is a `hidden beast` number, since 3 + 7 + 7 + 49 + 583 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37749583873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1217728497 + ... + 1217728527.

Almost surely, 2^37749583872 is an apocalyptic number.

37749583872 is a gapful number since it is divisible by the number (32) 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 37749583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78088407040).

37749583872 is an abundant number, since it is smaller than the sum of its proper divisors (118427230208).

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

37749583872 is a wasteful number, since it uses less digits than its factorization.

37749583872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 67 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 37749583872 in words is "thirty-seven billion, seven hundred forty-nine million, five hundred eighty-three thousand, eight hundred seventy-two".