3453984 has 72 divisors (see below), whose sum is σ = 10024560. Its totient is φ = 1127808.

The previous prime is 3453973. The next prime is 3453997. The reversal of 3453984 is 4893543.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19207 + ... + 19385.

It is an arithmetic number, because the mean of its divisors is an integer number (139230).

Almost surely, 2^3453984 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 3453984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012280).

3453984 is an abundant number, since it is smaller than the sum of its proper divisors (6570576).

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

3453984 is a wasteful number, since it uses less digits than its factorization.

3453984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3453984 is about 1858.4897094146. The cubic root of 3453984 is about 151.1611221114.

The spelling of 3453984 in words is "three million, four hundred fifty-three thousand, nine hundred eighty-four".