3302726400 has 540 divisors, whose sum is σ = 12788629392. Its totient is φ = 839393280.

The previous prime is 3302726381. The next prime is 3302726443. The reversal of 3302726400 is 46272033.

3302726400 is a `hidden beast` number, since 330 + 272 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11923062 + ... + 11923338.

Almost surely, 2^3302726400 is an apocalyptic number.

3302726400 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 3302726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6394314696).

3302726400 is an abundant number, since it is smaller than the sum of its proper divisors (9485902992).

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

3302726400 is a wasteful number, since it uses less digits than its factorization.

3302726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3302726400 is about 57469.3518320852. The cubic root of 3302726400 is about 1489.2154481181.

Adding to 3302726400 its reverse (46272033), we get a palindrome (3348998433).

The spelling of 3302726400 in words is "three billion, three hundred two million, seven hundred twenty-six thousand, four hundred".