3464439552 has 432 divisors, whose sum is σ = 12205378080. Its totient is φ = 966131712.

The previous prime is 3464439527. The next prime is 3464439581. The reversal of 3464439552 is 2559344643.

3464439552 is a `hidden beast` number, since 3 + 4 + 64 + 4 + 39 + 552 = 666.

3464439552 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 (432).

It is a junction number, because it is equal to n+sod(n) for n = 3464439498 and 3464439507.

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, 17950368 + ... + 17950560.

It is an arithmetic number, because the mean of its divisors is an integer number (28253190).

Almost surely, 2^3464439552 is an apocalyptic number.

3464439552 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 3464439552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102689040).

3464439552 is an abundant number, since it is smaller than the sum of its proper divisors (8740938528).

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

3464439552 is a wasteful number, since it uses less digits than its factorization.

3464439552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 258 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 3464439552 is about 58859.4899060466. The cubic root of 3464439552 is about 1513.1349503299.

The spelling of 3464439552 in words is "three billion, four hundred sixty-four million, four hundred thirty-nine thousand, five hundred fifty-two".