3935628144 has 120 divisors (see below), whose sum is σ = 12621379680. Its totient is φ = 1121462784.

The previous prime is 3935628131. The next prime is 3935628167. The reversal of 3935628144 is 4418265393.

3935628144 is a `hidden beast` number, since 3 + 9 + 3 + 5 + 628 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3935628144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387094 + ... + 397130.

It is an arithmetic number, because the mean of its divisors is an integer number (105178164).

Almost surely, 2^3935628144 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 3935628144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310689840).

3935628144 is an abundant number, since it is smaller than the sum of its proper divisors (8685751536).

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

3935628144 is a wasteful number, since it uses less digits than its factorization.

3935628144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10447 (or 10438 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 3935628144 is about 62734.5849113549. The cubic root of 3935628144 is about 1578.8396308495.

The spelling of 3935628144 in words is "three billion, nine hundred thirty-five million, six hundred twenty-eight thousand, one hundred forty-four".