3441382292124 has 576 divisors, whose sum is σ = 11330302771200. Its totient is φ = 897229872000.

The previous prime is 3441382292119. The next prime is 3441382292189. The reversal of 3441382292124 is 4212922831443.

3441382292124 is a `hidden beast` number, since 3 + 4 + 413 + 8 + 22 + 92 + 124 = 666.

It is a super-2 number, since 2×3441382292124² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3441382292124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 695085849 + ... + 695090799.

Almost surely, 2^{3441382292124} 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 3441382292124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665151385600).

3441382292124 is an abundant number, since it is smaller than the sum of its proper divisors (7888920479076).

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

3441382292124 is a wasteful number, since it uses less digits than its factorization.

3441382292124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5251 (or 5236 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 3441382292124 in words is "three trillion, four hundred forty-one billion, three hundred eighty-two million, two hundred ninety-two thousand, one hundred twenty-four".