3252506400 has 864 divisors, whose sum is σ = 14067224640. Its totient is φ = 727833600.

The previous prime is 3252506399. The next prime is 3252506417. The reversal of 3252506400 is 46052523.

3252506400 is a `hidden beast` number, since 3 + 2 + 5 + 250 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 250192794 + ... + 250192806.

It is an arithmetic number, because the mean of its divisors is an integer number (16281510).

Almost surely, 2^3252506400 is an apocalyptic number.

3252506400 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 3252506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033612320).

3252506400 is an abundant number, since it is smaller than the sum of its proper divisors (10814718240).

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

3252506400 is a wasteful number, since it uses less digits than its factorization.

3252506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3252506400 is about 57030.7496005444. The cubic root of 3252506400 is about 1481.6287158545.

Adding to 3252506400 its reverse (46052523), we get a palindrome (3298558923).

The spelling of 3252506400 in words is "three billion, two hundred fifty-two million, five hundred six thousand, four hundred".