3400224000 has 144 divisors (see below), whose sum is σ = 11294162880. Its totient is φ = 906700800.

The previous prime is 3400223999. The next prime is 3400224001. The reversal of 3400224000 is 4220043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3400223999) and next prime (3400224001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400224001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78291 + ... + 113709.

Almost surely, 2^3400224000 is an apocalyptic number.

3400224000 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 3400224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647081440).

3400224000 is an abundant number, since it is smaller than the sum of its proper divisors (7893938880).

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

3400224000 is an equidigital number, since it uses as much as digits as its factorization.

3400224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35453 (or 35429 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3400224000 is about 58311.4397009712. The cubic root of 3400224000 is about 1503.7276177925.

Adding to 3400224000 its reverse (4220043), we get a palindrome (3404444043).

The spelling of 3400224000 in words is "three billion, four hundred million, two hundred twenty-four thousand".