38646447840 has 1344 divisors, whose sum is σ = 184352620032. Its totient is φ = 7390310400.

The previous prime is 38646447761. The next prime is 38646447841. The reversal of 38646447840 is 4874464683.

38646447840 is a `hidden beast` number, since 3 + 86 + 46 + 447 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38646447841) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 116756475 + ... + 116756805.

It is an arithmetic number, because the mean of its divisors is an integer number (137167128).

Almost surely, 2^38646447840 is an apocalyptic number.

38646447840 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 38646447840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92176310016).

38646447840 is an abundant number, since it is smaller than the sum of its proper divisors (145706172192).

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

38646447840 is a wasteful number, since it uses less digits than its factorization.

38646447840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 38646447840 in words is "thirty-eight billion, six hundred forty-six million, four hundred forty-seven thousand, eight hundred forty".