3997473984 has 224 divisors, whose sum is σ = 13573109760. Its totient is φ = 1130029056.

The previous prime is 3997473983. The next prime is 3997474001. The reversal of 3997473984 is 4893747993.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3997473983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1171609 + ... + 1175015.

It is an arithmetic number, because the mean of its divisors is an integer number (60594240).

Almost surely, 2^3997473984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3997473984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786554880).

3997473984 is an abundant number, since it is smaller than the sum of its proper divisors (9575635776).

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

3997473984 is a wasteful number, since it uses less digits than its factorization.

3997473984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3516 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The square root of 3997473984 is about 63225.5801396871. The cubic root of 3997473984 is about 1587.0668315665.

The spelling of 3997473984 in words is "three billion, nine hundred ninety-seven million, four hundred seventy-three thousand, nine hundred eighty-four".