3302424400 has 120 divisors (see below), whose sum is σ = 8689408128. Its totient is φ = 1196160000.

The previous prime is 3302424397. The next prime is 3302424421. The reversal of 3302424400 is 44242033.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1235065 + ... + 1237735.

Almost surely, 2^3302424400 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 3302424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344704064).

3302424400 is an abundant number, since it is smaller than the sum of its proper divisors (5386983728).

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

3302424400 is a wasteful number, since it uses less digits than its factorization.

3302424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3302424400 is about 57466.7242845806. The cubic root of 3302424400 is about 1489.1700556434.

Adding to 3302424400 its reverse (44242033), we get a palindrome (3346666433).

The spelling of 3302424400 in words is "three billion, three hundred two million, four hundred twenty-four thousand, four hundred".