4730034400 has 288 divisors, whose sum is σ = 14552068608. Its totient is φ = 1461196800.

The previous prime is 4730034319. The next prime is 4730034431. The reversal of 4730034400 is 44300374.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3129645 + ... + 3131155.

It is an arithmetic number, because the mean of its divisors is an integer number (50528016).

Almost surely, 2^4730034400 is an apocalyptic number.

4730034400 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 4730034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7276034304).

4730034400 is an abundant number, since it is smaller than the sum of its proper divisors (9822034208).

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

4730034400 is a wasteful number, since it uses less digits than its factorization.

4730034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 4730034400 is about 68775.2455466355. The cubic root of 4730034400 is about 1678.6291727575.

Adding to 4730034400 its reverse (44300374), we get a palindrome (4774334774).

The spelling of 4730034400 in words is "four billion, seven hundred thirty million, thirty-four thousand, four hundred".