3250052400 has 360 divisors, whose sum is σ = 12508437504. Its totient is φ = 718502400.

The previous prime is 3250052389. The next prime is 3250052413. The reversal of 3250052400 is 42500523.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1821909 + ... + 1823691.

Almost surely, 2^3250052400 is an apocalyptic number.

3250052400 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 3250052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254218752).

3250052400 is an abundant number, since it is smaller than the sum of its proper divisors (9258385104).

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

3250052400 is a wasteful number, since it uses less digits than its factorization.

3250052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 3250052400 is about 57009.2308315066. The cubic root of 3250052400 is about 1481.2559949196.

Adding to 3250052400 its reverse (42500523), we get a palindrome (3292552923).

The spelling of 3250052400 in words is "three billion, two hundred fifty million, fifty-two thousand, four hundred".