3484741015872 has 336 divisors, whose sum is σ = 10925285662720. Its totient is φ = 1057878144000.

The previous prime is 3484741015859. The next prime is 3484741015883. The reversal of 3484741015872 is 2785101474843.

3484741015872 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 7 + 410 + 158 + 72 = 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, 51194853 + ... + 51262875.

Almost surely, 2^{3484741015872} is an apocalyptic number.

3484741015872 is a gapful number since it is divisible by the number (32) 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 3484741015872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462642831360).

3484741015872 is an abundant number, since it is smaller than the sum of its proper divisors (7440544646848).

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

3484741015872 is a wasteful number, since it uses less digits than its factorization.

3484741015872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68242 (or 68229 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 3484741015872 in words is "three trillion, four hundred eighty-four billion, seven hundred forty-one million, fifteen thousand, eight hundred seventy-two".