39802848000 has 576 divisors, whose sum is σ = 144981083520. Its totient is φ = 9645260800.

The previous prime is 39802847993. The next prime is 39802848023. The reversal of 39802848000 is 84820893.

It is a happy number.

It is a super-2 number, since 2×39802848000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1372511986 + ... + 1372512014.

It is an arithmetic number, because the mean of its divisors is an integer number (251703270).

Almost surely, 2^39802848000 is an apocalyptic number.

39802848000 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 39802848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72490541760).

39802848000 is an abundant number, since it is smaller than the sum of its proper divisors (105178235520).

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

39802848000 is an frugal number, since it uses more digits than its factorization.

39802848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 39802848000 in words is "thirty-nine billion, eight hundred two million, eight hundred forty-eight thousand".