3128252400 has 600 divisors, whose sum is σ = 13830927264. Its totient is φ = 659404800.

The previous prime is 3128252381. The next prime is 3128252423. The reversal of 3128252400 is 42528213.

3128252400 is a `hidden beast` number, since 3 + 1 + 2 + 8 + 252 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2947870 + ... + 2948930.

Almost surely, 2^3128252400 is an apocalyptic number.

3128252400 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 3128252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6915463632).

3128252400 is an abundant number, since it is smaller than the sum of its proper divisors (10702674864).

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

3128252400 is a wasteful number, since it uses less digits than its factorization.

3128252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3128252400 is about 55930.7822223148. The cubic root of 3128252400 is about 1462.5158972631.

The spelling of 3128252400 in words is "three billion, one hundred twenty-eight million, two hundred fifty-two thousand, four hundred".