3240350400 has 504 divisors, whose sum is σ = 12925958400. Its totient is φ = 707266560.

The previous prime is 3240350389. The next prime is 3240350401. The reversal of 3240350400 is 40530423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3240350401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5409301 + ... + 5409899.

Almost surely, 2^3240350400 is an apocalyptic number.

3240350400 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 3240350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462979200).

3240350400 is an abundant number, since it is smaller than the sum of its proper divisors (9685608000).

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

3240350400 is a wasteful number, since it uses less digits than its factorization.

3240350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3240350400 is about 56924.0757500726. The cubic root of 3240350400 is about 1479.7805859292.

Adding to 3240350400 its reverse (40530423), we get a palindrome (3280880823).

The spelling of 3240350400 in words is "three billion, two hundred forty million, three hundred fifty thousand, four hundred".