3748008112128 has 1872 divisors, whose sum is σ = 14052566621184. Its totient is φ = 993257717760.

The previous prime is 3748008112127. The next prime is 3748008112129. The reversal of 3748008112128 is 8212118008473.

3748008112128 is a `hidden beast` number, since 37 + 480 + 0 + 8 + 1 + 12 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (3748008112127) and next prime (3748008112129).

It is not an unprimeable number, because it can be changed into a prime (3748008112127) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55940419551 + ... + 55940419617.

Almost surely, 2^{3748008112128} 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 3748008112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7026283310592).

3748008112128 is an abundant number, since it is smaller than the sum of its proper divisors (10304558509056).

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

3748008112128 is an equidigital number, since it uses as much as digits as its factorization.

3748008112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 3748008112128 in words is "three trillion, seven hundred forty-eight billion, eight million, one hundred twelve thousand, one hundred twenty-eight".