3262851072 has 480 divisors, whose sum is σ = 11237826600. Its totient is φ = 934281216.

The previous prime is 3262851049. The next prime is 3262851073. The reversal of 3262851072 is 2701582623.

It can be written as a sum of positive squares in 4 ways, for example, as 2203739136 + 1059111936 = 46944^2 + 32544^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3262851073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36661204 + ... + 36661292.

Almost surely, 2^3262851072 is an apocalyptic number.

3262851072 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 3262851072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618913300).

3262851072 is an abundant number, since it is smaller than the sum of its proper divisors (7974975528).

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

3262851072 is a wasteful number, since it uses less digits than its factorization.

3262851072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3262851072 is about 57121.3714121081. The cubic root of 3262851072 is about 1483.1978383102.

The spelling of 3262851072 in words is "three billion, two hundred sixty-two million, eight hundred fifty-one thousand, seventy-two".