3461400 has 96 divisors (see below), whose sum is σ = 11941200. Its totient is φ = 921600.

The previous prime is 3461399. The next prime is 3461417. The reversal of 3461400 is 41643.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 5080 + ... + 5720.

Almost surely, 2^3461400 is an apocalyptic number.

3461400 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 3461400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5970600).

3461400 is an abundant number, since it is smaller than the sum of its proper divisors (8479800).

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

3461400 is a wasteful number, since it uses less digits than its factorization.

3461400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3461400 is about 1860.4838080456. The cubic root of 3461400 is about 151.2692300755.

The spelling of 3461400 in words is "three million, four hundred sixty-one thousand, four hundred".