38916459953280 has 3072 divisors, whose sum is σ = 179568259153920. Its totient is φ = 7834744258560.

The previous prime is 38916459953279. The next prime is 38916459953299. The reversal of 38916459953280 is 8235995461983.

It is a happy number.

38916459953280 is a `hidden beast` number, since 3 + 8 + 9 + 1 + 6 + 4 + 5 + 9 + 9 + 532 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 38916459953199 and 38916459953208.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27271519927 + ... + 27271521353.

It is an arithmetic number, because the mean of its divisors is an integer number (58453209360).

Almost surely, 2^{38916459953280} is an apocalyptic number.

38916459953280 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 38916459953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89784129576960).

38916459953280 is an abundant number, since it is smaller than the sum of its proper divisors (140651799200640).

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

38916459953280 is a wasteful number, since it uses less digits than its factorization.

38916459953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 38916459953280 in words is "thirty-eight trillion, nine hundred sixteen billion, four hundred fifty-nine million, nine hundred fifty-three thousand, two hundred eighty".