3262533120 has 640 divisors, whose sum is σ = 14471930880. Its totient is φ = 676823040.

The previous prime is 3262533103. The next prime is 3262533133. The reversal of 3262533120 is 213352623.

3262533120 is a `hidden beast` number, since 3 + 2 + 6 + 2 + 533 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5321934 + ... + 5322546.

It is an arithmetic number, because the mean of its divisors is an integer number (22612392).

Almost surely, 2^3262533120 is an apocalyptic number.

3262533120 is a gapful number since it is divisible by the number (30) 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 3262533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7235965440).

3262533120 is an abundant number, since it is smaller than the sum of its proper divisors (11209397760).

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

3262533120 is a wasteful number, since it uses less digits than its factorization.

3262533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3262533120 is about 57118.5882178473. The cubic root of 3262533120 is about 1483.1496594806.

Adding to 3262533120 its reverse (213352623), we get a palindrome (3475885743).

The spelling of 3262533120 in words is "three billion, two hundred sixty-two million, five hundred thirty-three thousand, one hundred twenty".