39678322320 has 960 divisors, whose sum is σ = 177438643200. Its totient is φ = 7868399616.

The previous prime is 39678322309. The next prime is 39678322379. The reversal of 39678322320 is 2322387693.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54577797 + ... + 54578523.

It is an arithmetic number, because the mean of its divisors is an integer number (184831920).

Almost surely, 2^39678322320 is an apocalyptic number.

39678322320 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 39678322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88719321600).

39678322320 is an abundant number, since it is smaller than the sum of its proper divisors (137760320880).

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

39678322320 is a wasteful number, since it uses less digits than its factorization.

39678322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 774 counting only the distinct ones).

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

The spelling of 39678322320 in words is "thirty-nine billion, six hundred seventy-eight million, three hundred twenty-two thousand, three hundred twenty".