3272770400 has 72 divisors (see below), whose sum is σ = 8023548960. Its totient is φ = 1303554560.

The previous prime is 3272770393. The next prime is 3272770421. The reversal of 3272770400 is 40772723.

It is a super-2 number, since 2×3272770400² = 21422052182232320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 182642 + ... + 199758.

It is an arithmetic number, because the mean of its divisors is an integer number (111438180).

Almost surely, 2^3272770400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3272770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011774480).

3272770400 is an abundant number, since it is smaller than the sum of its proper divisors (4750778560).

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

3272770400 is a wasteful number, since it uses less digits than its factorization.

3272770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17376 (or 17363 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 32.

The square root of 3272770400 is about 57208.1322890374. The cubic root of 3272770400 is about 1484.6993311018.

The spelling of 3272770400 in words is "three billion, two hundred seventy-two million, seven hundred seventy thousand, four hundred".