39893472912384 has 1485 divisors, whose sum is σ = 150684649886331. Its totient is φ = 10477698416640.

The previous prime is 39893472912341. The next prime is 39893472912493. The reversal of 39893472912384 is 48321927439893.

The square root of 39893472912384 is 6316128.

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

39893472912384 is a `hidden beast` number, since 3 + 9 + 8 + 93 + 4 + 72 + 91 + 2 + 384 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 634125542400 + 39259347369984 = 796320^2 + 6265728^2 .

It is a super-2 number, since 2×39893472912384² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 165533082504 + ... + 165533082744.

Almost surely, 2^{39893472912384} is an apocalyptic number.

39893472912384 is the 6316128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39893472912384

39893472912384 is an abundant number, since it is smaller than the sum of its proper divisors (110791176973947).

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

39893472912384 is an equidigital number, since it uses as much as digits as its factorization.

39893472912384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 266 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 39893472912384 in words is "thirty-nine trillion, eight hundred ninety-three billion, four hundred seventy-two million, nine hundred twelve thousand, three hundred eighty-four".