39049371648 has 420 divisors, whose sum is σ = 135818248302. Its totient is φ = 11147673600.

The previous prime is 39049371617. The next prime is 39049371649. The reversal of 39049371648 is 84617394093.

It is a happy number.

39049371648 is a `hidden beast` number, since 3 + 90 + 493 + 7 + 1 + 64 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39033114624 + 16257024 = 197568^2 + 4032^2 .

It is a super-2 number, since 2×39049371648² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 39049371594 and 39049371603.

It is not an unprimeable number, because it can be changed into a prime (39049371649) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32513448 + ... + 32514648.

Almost surely, 2^39049371648 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 39049371648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67909124151).

39049371648 is an abundant number, since it is smaller than the sum of its proper divisors (96768876654).

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

39049371648 is an equidigital number, since it uses as much as digits as its factorization.

39049371648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 39049371648 in words is "thirty-nine billion, forty-nine million, three hundred seventy-one thousand, six hundred forty-eight".