3997412160 has 168 divisors, whose sum is σ = 14764085280. Its totient is φ = 913683456.

The previous prime is 3997412143. The next prime is 3997412173. The reversal of 3997412160 is 612147993.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4551 + ... + 89529.

It is an arithmetic number, because the mean of its divisors is an integer number (87881460).

Almost surely, 2^3997412160 is an apocalyptic number.

3997412160 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 3997412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382042640).

3997412160 is an abundant number, since it is smaller than the sum of its proper divisors (10766673120).

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

3997412160 is a wasteful number, since it uses less digits than its factorization.

3997412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85013 (or 84996 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 3997412160 is about 63225.0912217610. The cubic root of 3997412160 is about 1587.0586497892.

The spelling of 3997412160 in words is "three billion, nine hundred ninety-seven million, four hundred twelve thousand, one hundred sixty".