3302400640 has 256 divisors, whose sum is σ = 10363852800. Its totient is φ = 974868480.

The previous prime is 3302400593. The next prime is 3302400641. The reversal of 3302400640 is 460042033.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3302400641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 934557 + ... + 938083.

It is an arithmetic number, because the mean of its divisors is an integer number (40483800).

Almost surely, 2^3302400640 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 3302400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181926400).

3302400640 is an abundant number, since it is smaller than the sum of its proper divisors (7061452160).

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

3302400640 is a wasteful number, since it uses less digits than its factorization.

3302400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3302400640 is about 57466.5175558777. The cubic root of 3302400640 is about 1489.1664842504.

Adding to 3302400640 its reverse (460042033), we get a palindrome (3762442673).

The spelling of 3302400640 in words is "three billion, three hundred two million, four hundred thousand, six hundred forty".