39874318848 has 640 divisors, whose sum is σ = 150415372800. Its totient is φ = 10144382976.

The previous prime is 39874318843. The next prime is 39874318853. The reversal of 39874318848 is 84881347893.

39874318848 is a `hidden beast` number, since 3 + 9 + 87 + 431 + 88 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (39874318843) and next prime (39874318853).

It is a super-2 number, since 2×39874318848² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (39874318843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36480990 + ... + 36482082.

It is an arithmetic number, because the mean of its divisors is an integer number (235024020).

Almost surely, 2^39874318848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39874318848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75207686400).

39874318848 is an abundant number, since it is smaller than the sum of its proper divisors (110541053952).

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

39874318848 is a wasteful number, since it uses less digits than its factorization.

39874318848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1147 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 39874318848 in words is "thirty-nine billion, eight hundred seventy-four million, three hundred eighteen thousand, eight hundred forty-eight".