3432240000 has 640 divisors, whose sum is σ = 14530348800. Its totient is φ = 781056000.

The previous prime is 3432239977. The next prime is 3432240017. The reversal of 3432240000 is 422343.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15119887 + ... + 15120113.

It is an arithmetic number, because the mean of its divisors is an integer number (22703670).

Almost surely, 2^3432240000 is an apocalyptic number.

3432240000 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 3432240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265174400).

3432240000 is an abundant number, since it is smaller than the sum of its proper divisors (11098108800).

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

3432240000 is an equidigital number, since it uses as much as digits as its factorization.

3432240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3432240000 is about 58585.3223939239. The cubic root of 3432240000 is about 1508.4325063926.

Adding to 3432240000 its reverse (422343), we get a palindrome (3432662343).

The spelling of 3432240000 in words is "three billion, four hundred thirty-two million, two hundred forty thousand".