3354332544 has 96 divisors (see below), whose sum is σ = 9706373040. Its totient is φ = 1111864320.

The previous prime is 3354332521. The next prime is 3354332557. The reversal of 3354332544 is 4452334533.

3354332544 is a `hidden beast` number, since 33 + 54 + 3 + 32 + 544 = 666.

3354332544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3354332544² = 22503093631475023872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3354332499 and 3354332508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200469 + ... + 216555.

Almost surely, 2^3354332544 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 3354332544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853186520).

3354332544 is an abundant number, since it is smaller than the sum of its proper divisors (6352040496).

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

3354332544 is a wasteful number, since it uses less digits than its factorization.

3354332544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16288 (or 16273 counting only the distinct ones).

The product of its digits is 259200, while the sum is 36.

The square root of 3354332544 is about 57916.5999002013. The cubic root of 3354332544 is about 1496.9318833857.

The spelling of 3354332544 in words is "three billion, three hundred fifty-four million, three hundred thirty-two thousand, five hundred forty-four".