3935723904 has 480 divisors, whose sum is σ = 13957320960. Its totient is φ = 1097349120.

The previous prime is 3935723899. The next prime is 3935723933. The reversal of 3935723904 is 4093275393.

It is a self number, because there is not a number n which added to its sum of digits gives 3935723904.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 30989889 + ... + 30990015.

It is an arithmetic number, because the mean of its divisors is an integer number (29077752).

Almost surely, 2^3935723904 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 3935723904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6978660480).

3935723904 is an abundant number, since it is smaller than the sum of its proper divisors (10021597056).

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

3935723904 is a wasteful number, since it uses less digits than its factorization.

3935723904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 3935723904 is about 62735.3481220914. The cubic root of 3935723904 is about 1578.8524359598.

The spelling of 3935723904 in words is "three billion, nine hundred thirty-five million, seven hundred twenty-three thousand, nine hundred four".