38724425741280 has 384 divisors, whose sum is σ = 124276268390400. Its totient is φ = 10133970223104.

The previous prime is 38724425741257. The next prime is 38724425741297. The reversal of 38724425741280 is 8214752442783.

It is a super-2 number, since 2×38724425741280² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38724425741280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13736935711 + ... + 13736938529.

It is an arithmetic number, because the mean of its divisors is an integer number (323636115600).

Almost surely, 2^{38724425741280} is an apocalyptic number.

38724425741280 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 38724425741280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62138134195200).

38724425741280 is an abundant number, since it is smaller than the sum of its proper divisors (85551842649120).

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

38724425741280 is a wasteful number, since it uses less digits than its factorization.

38724425741280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 57.

The spelling of 38724425741280 in words is "thirty-eight trillion, seven hundred twenty-four billion, four hundred twenty-five million, seven hundred forty-one thousand, two hundred eighty".