3025368144 has 200 divisors, whose sum is σ = 9321535080. Its totient is φ = 944013312.

The previous prime is 3025368133. The next prime is 3025368167. The reversal of 3025368144 is 4418635203.

3025368144 is a `hidden beast` number, since 3 + 0 + 2 + 536 + 81 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 364046400 + 2661321744 = 19080^2 + 51588^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3025368099 and 3025368108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7777102 + ... + 7777490.

Almost surely, 2^3025368144 is an apocalyptic number.

3025368144 is a gapful number since it is divisible by the number (34) 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 3025368144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660767540).

3025368144 is an abundant number, since it is smaller than the sum of its proper divisors (6296166936).

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

3025368144 is a wasteful number, since it uses less digits than its factorization.

3025368144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3025368144 is about 55003.3466618169. The cubic root of 3025368144 is about 1446.3034090686.

The spelling of 3025368144 in words is "three billion, twenty-five million, three hundred sixty-eight thousand, one hundred forty-four".