3438519552 has 288 divisors, whose sum is σ = 11599781760. Its totient is φ = 995328000.

The previous prime is 3438519541. The next prime is 3438519613. The reversal of 3438519552 is 2559158343.

3438519552 is a `hidden beast` number, since 3 + 4 + 3 + 85 + 19 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3438519498 and 3438519507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1526427 + ... + 1528677.

It is an arithmetic number, because the mean of its divisors is an integer number (40277020).

Almost surely, 2^3438519552 is an apocalyptic number.

3438519552 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 3438519552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5799890880).

3438519552 is an abundant number, since it is smaller than the sum of its proper divisors (8161262208).

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

3438519552 is a wasteful number, since it uses less digits than its factorization.

3438519552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2286 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 3438519552 is about 58638.8911218485. The cubic root of 3438519552 is about 1509.3518777523.

The spelling of 3438519552 in words is "three billion, four hundred thirty-eight million, five hundred nineteen thousand, five hundred fifty-two".