3252124400 has 120 divisors (see below), whose sum is σ = 9137403264. Its totient is φ = 1089043200.

The previous prime is 3252124391. The next prime is 3252124423. The reversal of 3252124400 is 44212523.

It is a happy number.

It is a super-2 number, since 2×3252124400² = 21152626226150720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106895 + ... + 133905.

Almost surely, 2^3252124400 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 3252124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568701632).

3252124400 is an abundant number, since it is smaller than the sum of its proper divisors (5885278864).

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

3252124400 is a wasteful number, since it uses less digits than its factorization.

3252124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27079 (or 27068 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 3252124400 is about 57027.4004317223. The cubic root of 3252124400 is about 1481.5707088635.

Adding to 3252124400 its reverse (44212523), we get a palindrome (3296336923).

The spelling of 3252124400 in words is "three billion, two hundred fifty-two million, one hundred twenty-four thousand, four hundred".