3795390144 has 672 divisors, whose sum is σ = 14615444480. Its totient is φ = 913711104.

The previous prime is 3795390139. The next prime is 3795390169. The reversal of 3795390144 is 4410935973.

3795390144 is a `hidden beast` number, since 3 + 79 + 539 + 0 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 3795390144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36848397 + ... + 36848499.

Almost surely, 2^3795390144 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 3795390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7307722240).

3795390144 is an abundant number, since it is smaller than the sum of its proper divisors (10820054336).

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

3795390144 is a wasteful number, since it uses less digits than its factorization.

3795390144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3795390144 is about 61606.7378133269. The cubic root of 3795390144 is about 1559.8594745213.

The spelling of 3795390144 in words is "three billion, seven hundred ninety-five million, three hundred ninety thousand, one hundred forty-four".