3214424400 has 120 divisors (see below), whose sum is σ = 11232998304. Its totient is φ = 779251200.

The previous prime is 3214424383. The next prime is 3214424407. The reversal of 3214424400 is 44244123.

It is a happy number.

3214424400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (3214424407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108559 + ... + 134958.

Almost surely, 2^3214424400 is an apocalyptic number.

3214424400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3214424400 is an abundant number, since it is smaller than the sum of its proper divisors (8018573904).

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

3214424400 is a wasteful number, since it uses less digits than its factorization.

3214424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243549 (or 243538 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3214424400 is about 56695.8940312259. The cubic root of 3214424400 is about 1475.8234452195.

Adding to 3214424400 its reverse (44244123), we get a palindrome (3258668523).

The spelling of 3214424400 in words is "three billion, two hundred fourteen million, four hundred twenty-four thousand, four hundred".