3455824264552 has 96 divisors (see below), whose sum is σ = 7498259848800. Its totient is φ = 1487931603840.

The previous prime is 3455824264523. The next prime is 3455824264583. The reversal of 3455824264552 is 2554624285543.

It is a super-3 number, since 3×3455824264552³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3455824264493 and 3455824264502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202358638 + ... + 202375714.

It is an arithmetic number, because the mean of its divisors is an integer number (78106873425).

Almost surely, 2^{3455824264552} 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 3455824264552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749129924400).

3455824264552 is an abundant number, since it is smaller than the sum of its proper divisors (4042435584248).

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

3455824264552 is a wasteful number, since it uses less digits than its factorization.

3455824264552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28127 (or 28112 counting only the distinct ones).

The product of its digits is 46080000, while the sum is 55.

The spelling of 3455824264552 in words is "three trillion, four hundred fifty-five billion, eight hundred twenty-four million, two hundred sixty-four thousand, five hundred fifty-two".