3424405200 has 120 divisors (see below), whose sum is σ = 11614845888. Its totient is φ = 859453440.

The previous prime is 3424405199. The next prime is 3424405213. The reversal of 3424405200 is 25044243.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63532 + ... + 104331.

Almost surely, 2^3424405200 is an apocalyptic number.

3424405200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3424405200 is an abundant number, since it is smaller than the sum of its proper divisors (8190440688).

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

3424405200 is a wasteful number, since it uses less digits than its factorization.

3424405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167901 (or 167890 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 3424405200 is about 58518.4176136026. The cubic root of 3424405200 is about 1507.2838618756.

Adding to 3424405200 its reverse (25044243), we get a palindrome (3449449443).

The spelling of 3424405200 in words is "three billion, four hundred twenty-four million, four hundred five thousand, two hundred".