3398400 has 162 divisors, whose sum is σ = 12355980. Its totient is φ = 890880.

The previous prime is 3398399. The next prime is 3398401. The reversal of 3398400 is 48933.

It is an interprime number because it is at equal distance from previous prime (3398399) and next prime (3398401).

It is not an unprimeable number, because it can be changed into a prime (3398401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57571 + ... + 57629.

Almost surely, 2^3398400 is an apocalyptic number.

3398400 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 3398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177990).

3398400 is an abundant number, since it is smaller than the sum of its proper divisors (8957580).

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

3398400 is a wasteful number, since it uses less digits than its factorization.

3398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3398400 is about 1843.4749794885. The cubic root of 3398400 is about 150.3458685533.

The spelling of 3398400 in words is "three million, three hundred ninety-eight thousand, four hundred".