3025058400 has 1152 divisors, whose sum is σ = 14349081600. Its totient is φ = 604661760.

The previous prime is 3025058389. The next prime is 3025058423. The reversal of 3025058400 is 48505203.

3025058400 is a `hidden beast` number, since 3 + 0 + 250 + 5 + 8 + 400 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159213591 + ... + 159213609.

It is an arithmetic number, because the mean of its divisors is an integer number (12455800).

Almost surely, 2^3025058400 is an apocalyptic number.

3025058400 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 3025058400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7174540800).

3025058400 is an abundant number, since it is smaller than the sum of its proper divisors (11324023200).

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

3025058400 is a wasteful number, since it uses less digits than its factorization.

3025058400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3025058400 is about 55000.5309065285. The cubic root of 3025058400 is about 1446.2540487846.

The spelling of 3025058400 in words is "three billion, twenty-five million, fifty-eight thousand, four hundred".