3125053440 has 384 divisors, whose sum is σ = 11321856000. Its totient is φ = 817496064.

The previous prime is 3125053439. The next prime is 3125053471. The reversal of 3125053440 is 443505213.

3125053440 is a `hidden beast` number, since 3 + 125 + 0 + 534 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24606657 + ... + 24606783.

It is an arithmetic number, because the mean of its divisors is an integer number (29484000).

Almost surely, 2^3125053440 is an apocalyptic number.

3125053440 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 3125053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928000).

3125053440 is an abundant number, since it is smaller than the sum of its proper divisors (8196802560).

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

3125053440 is a wasteful number, since it uses less digits than its factorization.

3125053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3125053440 is about 55902.1774173422. The cubic root of 3125053440 is about 1462.0172028994.

Adding to 3125053440 its reverse (443505213), we get a palindrome (3568558653).

The spelling of 3125053440 in words is "three billion, one hundred twenty-five million, fifty-three thousand, four hundred forty".