37748829888 has 336 divisors, whose sum is σ = 138195832320. Its totient is φ = 9565286400.

The previous prime is 37748829863. The next prime is 37748829889. The reversal of 37748829888 is 88892884773.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is not an unprimeable number, because it can be changed into a prime (37748829889) 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 47 ways as a sum of consecutive naturals, for example, 1808053 + ... + 1828811.

It is an arithmetic number, because the mean of its divisors is an integer number (411297120).

Almost surely, 2^37748829888 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 37748829888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69097916160).

37748829888 is an abundant number, since it is smaller than the sum of its proper divisors (100447002432).

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

37748829888 is a wasteful number, since it uses less digits than its factorization.

37748829888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20836 (or 20823 counting only the distinct ones).

The product of its digits is 346816512, while the sum is 72.

The spelling of 37748829888 in words is "thirty-seven billion, seven hundred forty-eight million, eight hundred twenty-nine thousand, eight hundred eighty-eight".