38174925085440 has 576 divisors, whose sum is σ = 144420076749312. Its totient is φ = 8542625710080.

The previous prime is 38174925085387. The next prime is 38174925085447. The reversal of 38174925085440 is 4458052947183.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (38174925085447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66156247 + ... + 66730793.

It is an arithmetic number, because the mean of its divisors is an integer number (250729299912).

Almost surely, 2^{38174925085440} is an apocalyptic number.

38174925085440 is a gapful number since it is divisible by the number (30) 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 38174925085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72210038374656).

38174925085440 is an abundant number, since it is smaller than the sum of its proper divisors (106245151663872).

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

38174925085440 is a wasteful number, since it uses less digits than its factorization.

38174925085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574617 (or 574581 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 38174925085440 in words is "thirty-eight trillion, one hundred seventy-four billion, nine hundred twenty-five million, eighty-five thousand, four hundred forty".