3272400000 has 480 divisors, whose sum is σ = 12293002260. Its totient is φ = 864000000.

The previous prime is 3272399951. The next prime is 3272400007. The reversal of 3272400000 is 42723.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12446784 + 3259953216 = 3528^2 + 57096^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3272400007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32399950 + ... + 32400050.

Almost surely, 2^3272400000 is an apocalyptic number.

3272400000 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 3272400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6146501130).

3272400000 is an abundant number, since it is smaller than the sum of its proper divisors (9020602260).

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

3272400000 is an frugal number, since it uses more digits than its factorization.

3272400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3272400000 is about 57204.8948954545. The cubic root of 3272400000 is about 1484.6433180698.

Adding to 3272400000 its reverse (42723), we get a palindrome (3272442723).

The spelling of 3272400000 in words is "three billion, two hundred seventy-two million, four hundred thousand".