3302400000 has 336 divisors, whose sum is σ = 11262591648. Its totient is φ = 860160000.

The previous prime is 3302399999. The next prime is 3302400001. The reversal of 3302400000 is 42033.

It is an interprime number because it is at equal distance from previous prime (3302399999) and next prime (3302400001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3302400001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76799979 + ... + 76800021.

It is an arithmetic number, because the mean of its divisors is an integer number (33519618).

Almost surely, 2^3302400000 is an apocalyptic number.

3302400000 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 3302400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5631295824).

3302400000 is an abundant number, since it is smaller than the sum of its proper divisors (7960191648).

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

3302400000 is an frugal number, since it uses more digits than its factorization.

3302400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3302400000 is about 57466.5119874175. The cubic root of 3302400000 is about 1489.1663880511.

Adding to 3302400000 its reverse (42033), we get a palindrome (3302442033).

The spelling of 3302400000 in words is "three billion, three hundred two million, four hundred thousand".