3481033876628 has 144 divisors (see below), whose sum is σ = 7696279172736. Its totient is φ = 1338361194240.

The previous prime is 3481033876627. The next prime is 3481033876667. The reversal of 3481033876628 is 8266783301843.

3481033876628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481033876627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 978641426 + ... + 978644982.

It is an arithmetic number, because the mean of its divisors is an integer number (53446383144).

Almost surely, 2^{3481033876628} 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 3481033876628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848139586368).

3481033876628 is an abundant number, since it is smaller than the sum of its proper divisors (4215245296108).

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

3481033876628 is a wasteful number, since it uses less digits than its factorization.

3481033876628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 59.

The spelling of 3481033876628 in words is "three trillion, four hundred eighty-one billion, thirty-three million, eight hundred seventy-six thousand, six hundred twenty-eight".