3930664320 has 640 divisors, whose sum is σ = 15701986080. Its totient is φ = 928972800.

The previous prime is 3930664307. The next prime is 3930664337. The reversal of 3930664320 is 234660393.

3930664320 is a `hidden beast` number, since 3 + 9 + 3 + 0 + 6 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34784584 + ... + 34784696.

Almost surely, 2^3930664320 is an apocalyptic number.

3930664320 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 3930664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7850993040).

3930664320 is an abundant number, since it is smaller than the sum of its proper divisors (11771321760).

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

3930664320 is a wasteful number, since it uses less digits than its factorization.

3930664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 3930664320 is about 62695.0103277765. The cubic root of 3930664320 is about 1578.1755793585.

It can be divided in two parts, 393066 and 4320, that added together give a triangular number (397386 = T₈₉₁).

The spelling of 3930664320 in words is "three billion, nine hundred thirty million, six hundred sixty-four thousand, three hundred twenty".