39476921344 has 99 divisors (see below), whose sum is σ = 91903031103. Its totient is φ = 16899606528.

The previous prime is 39476921339. The next prime is 39476921347. The reversal of 39476921344 is 44312967493.

The square root of 39476921344 is 198688.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (3919104) is a multiple of the sum of its prime divisors (896).

It is a junction number, because it is equal to n+sod(n) for n = 39476921291 and 39476921300.

It is not an unprimeable number, because it can be changed into a prime (39476921347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44505669 + ... + 44506555.

Almost surely, 2^39476921344 is an apocalyptic number.

39476921344 is the 198688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39476921344

39476921344 is an abundant number, since it is smaller than the sum of its proper divisors (52426109759).

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

39476921344 is an frugal number, since it uses more digits than its factorization.

39476921344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 896 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 52.

The spelling of 39476921344 in words is "thirty-nine billion, four hundred seventy-six million, nine hundred twenty-one thousand, three hundred forty-four".