3292823552 has 48 divisors (see below), whose sum is σ = 6606386745. Its totient is φ = 1641218048.

The previous prime is 3292823537. The next prime is 3292823561. The reversal of 3292823552 is 2553282923.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2403352576 + 889470976 = 49024^2 + 29824^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=40576.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 10387298 + ... + 10387614.

Almost surely, 2^3292823552 is an apocalyptic number.

3292823552 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 3292823552

3292823552 is an abundant number, since it is smaller than the sum of its proper divisors (3313563193).

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

3292823552 is an frugal number, since it uses more digits than its factorization.

3292823552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 319 counting only the distinct ones).

The product of its digits is 259200, while the sum is 41.

The square root of 3292823552 is about 57383.1295068507. The cubic root of 3292823552 is about 1487.7255438617.

Multiplying 3292823552 by its product of digits (259200), we get a square (853499864678400 = 29214720²).

The spelling of 3292823552 in words is "three billion, two hundred ninety-two million, eight hundred twenty-three thousand, five hundred fifty-two".