3395025144 has 128 divisors (see below), whose sum is σ = 10827264000. Its totient is φ = 965561472.

The previous prime is 3395025143. The next prime is 3395025199. The reversal of 3395025144 is 4415205933.

3395025144 is a `hidden beast` number, since 3 + 3 + 9 + 502 + 5 + 144 = 666.

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 = 3395025099 and 3395025108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3395025143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 332142 + ... + 342210.

It is an arithmetic number, because the mean of its divisors is an integer number (84588000).

Almost surely, 2^3395025144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3395025144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413632000).

3395025144 is an abundant number, since it is smaller than the sum of its proper divisors (7432238856).

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

3395025144 is a wasteful number, since it uses less digits than its factorization.

3395025144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10314 (or 10304 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3395025144 is about 58266.8442941610. The cubic root of 3395025144 is about 1502.9608397732.

The spelling of 3395025144 in words is "three billion, three hundred ninety-five million, twenty-five thousand, one hundred forty-four".