38409351680 has 240 divisors, whose sum is σ = 108016229376. Its totient is φ = 13059809280.

The previous prime is 38409351677. The next prime is 38409351707. The reversal of 38409351680 is 8615390483.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15929675 + ... + 15932085.

Almost surely, 2^38409351680 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 38409351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54008114688).

38409351680 is an abundant number, since it is smaller than the sum of its proper divisors (69606877696).

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

38409351680 is a wasteful number, since it uses less digits than its factorization.

38409351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 38409351680 in words is "thirty-eight billion, four hundred nine million, three hundred fifty-one thousand, six hundred eighty".