3453867438552 has 192 divisors, whose sum is σ = 9950779238400. Its totient is φ = 1078510464000.

The previous prime is 3453867438547. The next prime is 3453867438589. The reversal of 3453867438552 is 2558347683543.

3453867438552 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 8 + 6 + 74 + 3 + 8 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3453867438552.

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, 282195649 + ... + 282207887.

It is an arithmetic number, because the mean of its divisors is an integer number (51826975200).

Almost surely, 2^{3453867438552} 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 3453867438552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975389619200).

3453867438552 is an abundant number, since it is smaller than the sum of its proper divisors (6496911799848).

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

3453867438552 is a wasteful number, since it uses less digits than its factorization.

3453867438552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13326 (or 13319 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 63.

The spelling of 3453867438552 in words is "three trillion, four hundred fifty-three billion, eight hundred sixty-seven million, four hundred thirty-eight thousand, five hundred fifty-two".