3933164160 has 384 divisors, whose sum is σ = 14502196800. Its totient is φ = 979402752.

The previous prime is 3933164159. The next prime is 3933164203. The reversal of 3933164160 is 614613393.

3933164160 is a `hidden beast` number, since 3 + 9 + 3 + 3 + 1 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 9083304 + ... + 9083736.

Almost surely, 2^3933164160 is an apocalyptic number.

3933164160 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 3933164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7251098400).

3933164160 is an abundant number, since it is smaller than the sum of its proper divisors (10569032640).

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

3933164160 is a wasteful number, since it uses less digits than its factorization.

3933164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3933164160 is about 62714.9436737370. The cubic root of 3933164160 is about 1578.5100733148.

The spelling of 3933164160 in words is "three billion, nine hundred thirty-three million, one hundred sixty-four thousand, one hundred sixty".