3423974400 has 792 divisors, whose sum is σ = 15363701184. Its totient is φ = 707788800.

The previous prime is 3423974399. The next prime is 3423974429. The reversal of 3423974400 is 44793243.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17740704 + ... + 17740896.

Almost surely, 2^3423974400 is an apocalyptic number.

3423974400 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 3423974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7681850592).

3423974400 is an abundant number, since it is smaller than the sum of its proper divisors (11939726784).

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

3423974400 is a wasteful number, since it uses less digits than its factorization.

3423974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3423974400 is about 58514.7366054057. The cubic root of 3423974400 is about 1507.2206523466.

The spelling of 3423974400 in words is "three billion, four hundred twenty-three million, nine hundred seventy-four thousand, four hundred".