3788025124512 has 192 divisors, whose sum is σ = 10436657172480. Its totient is φ = 1200711942144.

The previous prime is 3788025124483. The next prime is 3788025124523. The reversal of 3788025124512 is 2154215208873.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1230276189 + ... + 1230279267.

It is an arithmetic number, because the mean of its divisors is an integer number (54357589440).

Almost surely, 2^{3788025124512} is an apocalyptic number.

3788025124512 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 3788025124512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5218328586240).

3788025124512 is an abundant number, since it is smaller than the sum of its proper divisors (6648632047968).

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

3788025124512 is a wasteful number, since it uses less digits than its factorization.

3788025124512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6195 (or 6187 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 3788025124512 in words is "three trillion, seven hundred eighty-eight billion, twenty-five million, one hundred twenty-four thousand, five hundred twelve".