3075728400 has 360 divisors, whose sum is σ = 11697945480. Its totient is φ = 744898560.

The previous prime is 3075728393. The next prime is 3075728407. The reversal of 3075728400 is 48275703.

3075728400 is a `hidden beast` number, since 3 + 0 + 7 + 572 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3075728393) and next prime (3075728407).

It can be written as a sum of positive squares in 12 ways, for example, as 472279824 + 2603448576 = 21732^2 + 51024^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3075728407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1773934 + ... + 1775666.

It is an arithmetic number, because the mean of its divisors is an integer number (32494293).

Almost surely, 2^3075728400 is an apocalyptic number.

3075728400 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 3075728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5848972740).

3075728400 is an abundant number, since it is smaller than the sum of its proper divisors (8622217080).

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

3075728400 is a wasteful number, since it uses less digits than its factorization.

3075728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 3075728400 is about 55459.2499047724. The cubic root of 3075728400 is about 1454.2843400130.

The spelling of 3075728400 in words is "three billion, seventy-five million, seven hundred twenty-eight thousand, four hundred".