3424401200 has 240 divisors, whose sum is σ = 9498677760. Its totient is φ = 1174656000.

The previous prime is 3424401199. The next prime is 3424401313. The reversal of 3424401200 is 21044243.

It is a super-2 number, since 2×3424401200² = 23453047157122880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5996915 + ... + 5997485.

It is an arithmetic number, because the mean of its divisors is an integer number (39577824).

Almost surely, 2^3424401200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749338880).

3424401200 is an abundant number, since it is smaller than the sum of its proper divisors (6074276560).

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

3424401200 is a wasteful number, since it uses less digits than its factorization.

3424401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3424401200 is about 58518.3834363185. The cubic root of 3424401200 is about 1507.2832749962.

Adding to 3424401200 its reverse (21044243), we get a palindrome (3445445443).

The spelling of 3424401200 in words is "three billion, four hundred twenty-four million, four hundred one thousand, two hundred".