3917543664 has 80 divisors (see below), whose sum is σ = 10237630464. Its totient is φ = 1290777600.

The previous prime is 3917543657. The next prime is 3917543717. The reversal of 3917543664 is 4663457193.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2662449 + ... + 2663919.

Almost surely, 2^3917543664 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 3917543664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118815232).

3917543664 is an abundant number, since it is smaller than the sum of its proper divisors (6320086800).

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

3917543664 is a wasteful number, since it uses less digits than its factorization.

3917543664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2080 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The square root of 3917543664 is about 62590.2841022471. The cubic root of 3917543664 is about 1576.4176253297.

It can be divided in two parts, 3917 and 543664, that added together give a triangular number (547581 = T₁₀₄₆).

The spelling of 3917543664 in words is "three billion, nine hundred seventeen million, five hundred forty-three thousand, six hundred sixty-four".