3997935360 has 288 divisors, whose sum is σ = 14680008000. Its totient is φ = 1029095424.

The previous prime is 3997935353. The next prime is 3997935377. The reversal of 3997935360 is 635397993.

3997935360 is a `hidden beast` number, since 39 + 9 + 79 + 3 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3997935297 and 3997935306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000246 + ... + 1004234.

It is an arithmetic number, because the mean of its divisors is an integer number (50972250).

Almost surely, 2^3997935360 is an apocalyptic number.

3997935360 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 3997935360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340004000).

3997935360 is an abundant number, since it is smaller than the sum of its proper divisors (10682072640).

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

3997935360 is a wasteful number, since it uses less digits than its factorization.

3997935360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 4133430, while the sum is 54.

The square root of 3997935360 is about 63229.2286842090. The cubic root of 3997935360 is about 1587.1278873216.

The spelling of 3997935360 in words is "three billion, nine hundred ninety-seven million, nine hundred thirty-five thousand, three hundred sixty".