38644193280 has 1152 divisors, whose sum is σ = 168639045120. Its totient is φ = 7313817600.

The previous prime is 38644193279. The next prime is 38644193359. The reversal of 38644193280 is 8239144683.

38644193280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×38644193280³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1246586865 + ... + 1246586895.

It is an arithmetic number, because the mean of its divisors is an integer number (146388060).

Almost surely, 2^38644193280 is an apocalyptic number.

38644193280 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 38644193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84319522560).

38644193280 is an abundant number, since it is smaller than the sum of its proper divisors (129994851840).

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

38644193280 is a wasteful number, since it uses less digits than its factorization.

38644193280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 38644193280 in words is "thirty-eight billion, six hundred forty-four million, one hundred ninety-three thousand, two hundred eighty".