3473984 has 56 divisors (see below), whose sum is σ = 7607808. Its totient is φ = 1566720.

The previous prime is 3473983. The next prime is 3473993. The reversal of 3473984 is 4893743.

It is not an unprimeable number, because it can be changed into a prime (3473983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33677 + ... + 33779.

Almost surely, 2^3473984 is an apocalyptic number.

3473984 is a gapful number since it is divisible by the number (34) 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 3473984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803904).

3473984 is an abundant number, since it is smaller than the sum of its proper divisors (4133824).

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

3473984 is a wasteful number, since it uses less digits than its factorization.

3473984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 3473984 is about 1863.8626558843. The cubic root of 3473984 is about 151.4523226404.

It can be divided in two parts, 34 and 73984, that multiplied together give a cube (2515456 = 136³).

The spelling of 3473984 in words is "three million, four hundred seventy-three thousand, nine hundred eighty-four".