3936438000 has 600 divisors, whose sum is σ = 15848365104. Its totient is φ = 933984000.

The previous prime is 3936437987. The next prime is 3936438061. The reversal of 3936438000 is 8346393.

3936438000 is a `hidden beast` number, since 3 + 9 + 3 + 643 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 83753977 + ... + 83754023.

Almost surely, 2^3936438000 is an apocalyptic number.

3936438000 is a gapful number since it is divisible by the number (30) 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 3936438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7924182552).

3936438000 is an abundant number, since it is smaller than the sum of its proper divisors (11911927104).

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

3936438000 is a wasteful number, since it uses less digits than its factorization.

3936438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3936438000 is about 62741.0392008293. The cubic root of 3936438000 is about 1578.9479189472.

The spelling of 3936438000 in words is "three billion, nine hundred thirty-six million, four hundred thirty-eight thousand".