3484123565076 has 144 divisors (see below), whose sum is σ = 10984439531520. Its totient is φ = 904623370560.

The previous prime is 3484123565057. The next prime is 3484123565081. The reversal of 3484123565076 is 6705653214843.

3484123565076 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 1 + 2 + 3 + 565 + 0 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7100065 + ... + 7574903.

It is an arithmetic number, because the mean of its divisors is an integer number (76280830080).

Almost surely, 2^{3484123565076} is an apocalyptic number.

3484123565076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3484123565076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5492219765760).

3484123565076 is an abundant number, since it is smaller than the sum of its proper divisors (7500315966444).

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

3484123565076 is a wasteful number, since it uses less digits than its factorization.

3484123565076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477514 (or 477509 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 3484123565076 in words is "three trillion, four hundred eighty-four billion, one hundred twenty-three million, five hundred sixty-five thousand, seventy-six".