3423462400 has 132 divisors (see below), whose sum is σ = 8546134932. Its totient is φ = 1359708160.

The previous prime is 3423462391. The next prime is 3423462409. The reversal of 3423462400 is 42643243.

It is an interprime number because it is at equal distance from previous prime (3423462391) and next prime (3423462409).

It can be written as a sum of positive squares in 6 ways, for example, as 94633984 + 3328828416 = 9728^2 + 57696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423462409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4428414 + ... + 4429186.

Almost surely, 2^3423462400 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 3423462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273067466).

3423462400 is an abundant number, since it is smaller than the sum of its proper divisors (5122672532).

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

3423462400 is a wasteful number, since it uses less digits than its factorization.

3423462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 3423462400 is about 58510.3614755541. The cubic root of 3423462400 is about 1507.1455217769.

The spelling of 3423462400 in words is "three billion, four hundred twenty-three million, four hundred sixty-two thousand, four hundred".