39338046720 has 648 divisors, whose sum is σ = 159542326944. Its totient is φ = 8922783744.

The previous prime is 39338046703. The next prime is 39338046721. The reversal of 39338046720 is 2764083393.

39338046720 is a `hidden beast` number, since 3 + 93 + 3 + 80 + 467 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39338046721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128136807 + ... + 128137113.

Almost surely, 2^39338046720 is an apocalyptic number.

39338046720 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 39338046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79771163472).

39338046720 is an abundant number, since it is smaller than the sum of its proper divisors (120204280224).

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

39338046720 is a wasteful number, since it uses less digits than its factorization.

39338046720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 39338046720 in words is "thirty-nine billion, three hundred thirty-eight million, forty-six thousand, seven hundred twenty".