38743461322072 has 128 divisors (see below), whose sum is σ = 79652607552000. Its totient is φ = 17558970670080.

The previous prime is 38743461322057. The next prime is 38743461322087. The reversal of 38743461322072 is 27022316434783.

It is an interprime number because it is at equal distance from previous prime (38743461322057) and next prime (38743461322087).

It is a super-2 number, since 2×38743461322072² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6810238204 + ... + 6810243892.

It is an arithmetic number, because the mean of its divisors is an integer number (622285996500).

Almost surely, 2^{38743461322072} 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 38743461322072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39826303776000).

38743461322072 is an abundant number, since it is smaller than the sum of its proper divisors (40909146229928).

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

38743461322072 is a wasteful number, since it uses less digits than its factorization.

38743461322072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9321 (or 9317 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 52.

The spelling of 38743461322072 in words is "thirty-eight trillion, seven hundred forty-three billion, four hundred sixty-one million, three hundred twenty-two thousand, seventy-two".