3423332400 has 120 divisors (see below), whose sum is σ = 10980678144. Its totient is φ = 911673600.

The previous prime is 3423332377. The next prime is 3423332431. The reversal of 3423332400 is 42333243.

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, 1235817 + ... + 1238583.

Almost surely, 2^3423332400 is an apocalyptic number.

3423332400 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 3423332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490339072).

3423332400 is an abundant number, since it is smaller than the sum of its proper divisors (7557345744).

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

3423332400 is a wasteful number, since it uses less digits than its factorization.

3423332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3423332400 is about 58509.2505506608. The cubic root of 3423332400 is about 1507.1264444632.

Adding to 3423332400 its reverse (42333243), we get a palindrome (3465665643).

The spelling of 3423332400 in words is "three billion, four hundred twenty-three million, three hundred thirty-two thousand, four hundred".