3506138039728 has 160 divisors (see below), whose sum is σ = 7371916738560. Its totient is φ = 1610654115840.

The previous prime is 3506138039689. The next prime is 3506138039773. The reversal of 3506138039728 is 8279308316053.

It is a super-4 number, since 4×3506138039728⁴ (a number of 51 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1076491476 + ... + 1076494732.

It is an arithmetic number, because the mean of its divisors is an integer number (46074479616).

Almost surely, 2^{3506138039728} 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 3506138039728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685958369280).

3506138039728 is an abundant number, since it is smaller than the sum of its proper divisors (3865778698832).

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

3506138039728 is a wasteful number, since it uses less digits than its factorization.

3506138039728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3995 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 3506138039728 in words is "three trillion, five hundred six billion, one hundred thirty-eight million, thirty-nine thousand, seven hundred twenty-eight".