3938024160 has 720 divisors, whose sum is σ = 16847275536. Its totient is φ = 834527232.

The previous prime is 3938024119. The next prime is 3938024183. The reversal of 3938024160 is 614208393.

3938024160 is a `hidden beast` number, since 39 + 380 + 241 + 6 + 0 = 666.

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

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 119 ways as a sum of consecutive naturals, for example, 58776447 + ... + 58776513.

Almost surely, 2^3938024160 is an apocalyptic number.

3938024160 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 3938024160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8423637768).

3938024160 is an abundant number, since it is smaller than the sum of its proper divisors (12909251376).

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

3938024160 is a wasteful number, since it uses less digits than its factorization.

3938024160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3938024160 is about 62753.6784579199. The cubic root of 3938024160 is about 1579.1599657876.

The spelling of 3938024160 in words is "three billion, nine hundred thirty-eight million, twenty-four thousand, one hundred sixty".