3482400 has 72 divisors (see below), whose sum is σ = 11343024. Its totient is φ = 928000.

The previous prime is 3482393. The next prime is 3482411. The reversal of 3482400 is 42843.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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, 1675 + ... + 3125.

It is an arithmetic number, because the mean of its divisors is an integer number (157542).

Almost surely, 2^3482400 is an apocalyptic number.

3482400 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 3482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671512).

3482400 is an abundant number, since it is smaller than the sum of its proper divisors (7860624).

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

3482400 is a wasteful number, since it uses less digits than its factorization.

3482400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3482400 is about 1866.1189672687. The cubic root of 3482400 is about 151.5745257401.

The spelling of 3482400 in words is "three million, four hundred eighty-two thousand, four hundred".