39790323840 has 256 divisors, whose sum is σ = 133332376320. Its totient is φ = 10073800704.

The previous prime is 39790323803. The next prime is 39790323869. The reversal of 39790323840 is 4832309793.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 39790323840.

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 31 ways as a sum of consecutive naturals, for example, 6046632 + ... + 6053208.

It is an arithmetic number, because the mean of its divisors is an integer number (520829595).

Almost surely, 2^39790323840 is an apocalyptic number.

39790323840 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 39790323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66666188160).

39790323840 is an abundant number, since it is smaller than the sum of its proper divisors (93542052480).

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

39790323840 is a wasteful number, since it uses less digits than its factorization.

39790323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6759 (or 6747 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 39790323840 in words is "thirty-nine billion, seven hundred ninety million, three hundred twenty-three thousand, eight hundred forty".