39308340960 has 864 divisors, whose sum is σ = 165638753280. Its totient is φ = 8773567488.

The previous prime is 39308340949. The next prime is 39308340961. The reversal of 39308340960 is 6904380393.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×39308340960² (a number of 22 digits) contains 22 as substring.

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 (39308340961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89540421 + ... + 89540859.

It is an arithmetic number, because the mean of its divisors is an integer number (191711520).

Almost surely, 2^39308340960 is an apocalyptic number.

39308340960 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 39308340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82819376640).

39308340960 is an abundant number, since it is smaller than the sum of its proper divisors (126330412320).

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

39308340960 is a wasteful number, since it uses less digits than its factorization.

39308340960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 39308340960 in words is "thirty-nine billion, three hundred eight million, three hundred forty thousand, nine hundred sixty".