3262812000 has 576 divisors, whose sum is σ = 12906915840. Its totient is φ = 717696000.

The previous prime is 3262811977. The next prime is 3262812013. The reversal of 3262812000 is 2182623.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18227911 + ... + 18228089.

It is an arithmetic number, because the mean of its divisors is an integer number (22407840).

Almost surely, 2^3262812000 is an apocalyptic number.

3262812000 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 3262812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6453457920).

3262812000 is an abundant number, since it is smaller than the sum of its proper divisors (9644103840).

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

3262812000 is a wasteful number, since it uses less digits than its factorization.

3262812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3262812000 is about 57121.0294024889. The cubic root of 3262812000 is about 1483.1919179524.

Adding to 3262812000 its reverse (2182623), we get a palindrome (3264994623).

The spelling of 3262812000 in words is "three billion, two hundred sixty-two million, eight hundred twelve thousand".