37734718848 has 128 divisors (see below), whose sum is σ = 106906093920. Its totient is φ = 11751653376.

The previous prime is 37734718841. The next prime is 37734718939. The reversal of 37734718848 is 84881743773.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 37734718791 and 37734718800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37734718841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 873240 + ... + 915432.

Almost surely, 2^37734718848 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 37734718848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53453046960).

37734718848 is an abundant number, since it is smaller than the sum of its proper divisors (69171375072).

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

37734718848 is a wasteful number, since it uses less digits than its factorization.

37734718848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42364 (or 42352 counting only the distinct ones).

The product of its digits is 25288704, while the sum is 60.

The spelling of 37734718848 in words is "thirty-seven billion, seven hundred thirty-four million, seven hundred eighteen thousand, eight hundred forty-eight".