3540851272728 has 1152 divisors, whose sum is σ = 13517689536000. Its totient is φ = 823542128640.

The previous prime is 3540851272723. The next prime is 3540851272747. The reversal of 3540851272728 is 8272721580453.

3540851272728 is a `hidden beast` number, since 3 + 54 + 0 + 8 + 512 + 7 + 2 + 72 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3540851272723) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3474829003 + ... + 3474830021.

It is an arithmetic number, because the mean of its divisors is an integer number (11734105500).

Almost surely, 2^{3540851272728} 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 3540851272728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6758844768000).

3540851272728 is an abundant number, since it is smaller than the sum of its proper divisors (9976838263272).

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

3540851272728 is a wasteful number, since it uses less digits than its factorization.

3540851272728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 3540851272728 in words is "three trillion, five hundred forty billion, eight hundred fifty-one million, two hundred seventy-two thousand, seven hundred twenty-eight".