38150749862880 has 384 divisors, whose sum is σ = 131833808668800. Its totient is φ = 9230719647744.

The previous prime is 38150749862867. The next prime is 38150749862917. The reversal of 38150749862880 is 8826894705183.

38150749862880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 154402476 + ... + 154649364.

It is an arithmetic number, because the mean of its divisors is an integer number (343317210075).

It is a 1-persistent number, because it is pandigital, but 2⋅38150749862880 = 76301499725760 is not.

Almost surely, 2^{38150749862880} is an apocalyptic number.

38150749862880 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 38150749862880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65916904334400).

38150749862880 is an abundant number, since it is smaller than the sum of its proper divisors (93683058805920).

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

38150749862880 is a wasteful number, since it uses less digits than its factorization.

38150749862880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247606 (or 247598 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 69.

The spelling of 38150749862880 in words is "thirty-eight trillion, one hundred fifty billion, seven hundred forty-nine million, eight hundred sixty-two thousand, eight hundred eighty".