3400800 has 144 divisors (see below), whose sum is σ = 12030480. Its totient is φ = 829440.

The previous prime is 3400739. The next prime is 3400823. The reversal of 3400800 is 80043.

3400800 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3400800.

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, 31146 + ... + 31254.

It is an arithmetic number, because the mean of its divisors is an integer number (83545).

Almost surely, 2^3400800 is an apocalyptic number.

3400800 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 3400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015240).

3400800 is an abundant number, since it is smaller than the sum of its proper divisors (8629680).

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

3400800 is a wasteful number, since it uses less digits than its factorization.

3400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3400800 is about 1844.1258091573. The cubic root of 3400800 is about 150.3812523787.

Adding to 3400800 its reverse (80043), we get a palindrome (3480843).

The spelling of 3400800 in words is "three million, four hundred thousand, eight hundred".