4538342400 has 132 divisors (see below), whose sum is σ = 14999711832. Its totient is φ = 1210204160.

The previous prime is 4538342399. The next prime is 4538342407. The reversal of 4538342400 is 42438354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4538342407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47254 + ... + 106346.

Almost surely, 2^4538342400 is an apocalyptic number.

4538342400 is a gapful number since it is divisible by the number (40) 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 4538342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499855916).

4538342400 is an abundant number, since it is smaller than the sum of its proper divisors (10461369432).

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

4538342400 is a wasteful number, since it uses less digits than its factorization.

4538342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59126 (or 59103 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 4538342400 is about 67367.2205156187. The cubic root of 4538342400 is about 1655.6393996511.

The spelling of 4538342400 in words is "four billion, five hundred thirty-eight million, three hundred forty-two thousand, four hundred".