39849449472 has 768 divisors, whose sum is σ = 144416563200. Its totient is φ = 10749542400.

The previous prime is 39849449429. The next prime is 39849449483. The reversal of 39849449472 is 27494494893.

39849449472 is a `hidden beast` number, since 39 + 8 + 4 + 94 + 49 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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.

Its product of digits (62705664) is a multiple of the sum of its prime divisors (84).

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, 971937772 + ... + 971937812.

It is an arithmetic number, because the mean of its divisors is an integer number (188042400).

Almost surely, 2^39849449472 is an apocalyptic number.

39849449472 is a gapful number since it is divisible by the number (32) 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 39849449472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72208281600).

39849449472 is an abundant number, since it is smaller than the sum of its proper divisors (104567113728).

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

39849449472 is an frugal number, since it uses more digits than its factorization.

39849449472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 84 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 39849449472 in words is "thirty-nine billion, eight hundred forty-nine million, four hundred forty-nine thousand, four hundred seventy-two".