3936469680 has 720 divisors, whose sum is σ = 16630694496. Its totient is φ = 824279040.

The previous prime is 3936469643. The next prime is 3936469681. The reversal of 3936469680 is 869646393.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3936469681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22754074 + ... + 22754246.

Almost surely, 2^3936469680 is an apocalyptic number.

3936469680 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 3936469680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8315347248).

3936469680 is an abundant number, since it is smaller than the sum of its proper divisors (12694224816).

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

3936469680 is a wasteful number, since it uses less digits than its factorization.

3936469680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The square root of 3936469680 is about 62741.2916666528. The cubic root of 3936469680 is about 1578.9521546662.

The spelling of 3936469680 in words is "three billion, nine hundred thirty-six million, four hundred sixty-nine thousand, six hundred eighty".