3250114400 has 288 divisors, whose sum is σ = 9354901248. Its totient is φ = 1091174400.

The previous prime is 3250114397. The next prime is 3250114411. The reversal of 3250114400 is 44110523.

It is a super-2 number, since 2×3250114400² = 21126487226174720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5480504 + ... + 5481096.

It is an arithmetic number, because the mean of its divisors is an integer number (32482296).

Almost surely, 2^3250114400 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 3250114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677450624).

3250114400 is an abundant number, since it is smaller than the sum of its proper divisors (6104786848).

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

3250114400 is a wasteful number, since it uses less digits than its factorization.

3250114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 3250114400 is about 57009.7746005016. The cubic root of 3250114400 is about 1481.2654139767.

Adding to 3250114400 its reverse (44110523), we get a palindrome (3294224923).

The spelling of 3250114400 in words is "three billion, two hundred fifty million, one hundred fourteen thousand, four hundred".