39064249728 has 640 divisors, whose sum is σ = 139336243200. Its totient is φ = 10630103040.

The previous prime is 39064249723. The next prime is 39064249729. The reversal of 39064249728 is 82794246093.

39064249728 is a `hidden beast` number, since 3 + 90 + 6 + 42 + 497 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39064249723) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 218235943 + ... + 218236121.

It is an arithmetic number, because the mean of its divisors is an integer number (217712880).

Almost surely, 2^39064249728 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 39064249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69668121600).

39064249728 is an abundant number, since it is smaller than the sum of its proper divisors (100271993472).

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

39064249728 is a wasteful number, since it uses less digits than its factorization.

39064249728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 39064249728 in words is "thirty-nine billion, sixty-four million, two hundred forty-nine thousand, seven hundred twenty-eight".