3936434666640 has 480 divisors, whose sum is σ = 14711898378240. Its totient is φ = 867242880000.

The previous prime is 3936434666629. The next prime is 3936434666657. The reversal of 3936434666640 is 466664346393.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91483051 + ... + 91526069.

It is an arithmetic number, because the mean of its divisors is an integer number (30649788288).

Almost surely, 2^{3936434666640} is an apocalyptic number.

3936434666640 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 3936434666640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7355949189120).

3936434666640 is an abundant number, since it is smaller than the sum of its proper divisors (10775463711600).

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

3936434666640 is a wasteful number, since it uses less digits than its factorization.

3936434666640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43331 (or 43318 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 60.

The spelling of 3936434666640 in words is "three trillion, nine hundred thirty-six billion, four hundred thirty-four million, six hundred sixty-six thousand, six hundred forty".