38921057280 has 1056 divisors, whose sum is σ = 165235150080. Its totient is φ = 8599633920.

The previous prime is 38921057251. The next prime is 38921057299. The reversal of 38921057280 is 8275012983.

It is a happy number.

38921057280 is a `hidden beast` number, since 389 + 210 + 57 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 357073866 + ... + 357073974.

It is an arithmetic number, because the mean of its divisors is an integer number (156472680).

Almost surely, 2^38921057280 is an apocalyptic number.

38921057280 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 38921057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82617575040).

38921057280 is an abundant number, since it is smaller than the sum of its proper divisors (126314092800).

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

38921057280 is a wasteful number, since it uses less digits than its factorization.

38921057280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 38921057280 in words is "thirty-eight billion, nine hundred twenty-one million, fifty-seven thousand, two hundred eighty".