3485400 has 96 divisors (see below), whose sum is σ = 11167440. Its totient is φ = 898560.

The previous prime is 3485393. The next prime is 3485411. The reversal of 3485400 is 45843.

It is a happy number.

3485400 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 22122 + ... + 22278.

Almost surely, 2^3485400 is an apocalyptic number.

3485400 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 3485400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583720).

3485400 is an abundant number, since it is smaller than the sum of its proper divisors (7682040).

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

3485400 is a wasteful number, since it uses less digits than its factorization.

3485400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3485400 is about 1866.9226015023. The cubic root of 3485400 is about 151.6180391276.

Subtracting from 3485400 its product of nonzero digits (1920), we obtain a triangular number (3483480 = T₂₆₃₉).

The spelling of 3485400 in words is "three million, four hundred eighty-five thousand, four hundred".