4638374400 has 480 divisors, whose sum is σ = 17048908800. Its totient is φ = 1102233600.

The previous prime is 4638374369. The next prime is 4638374431. The reversal of 4638374400 is 44738364.

It is an interprime number because it is at equal distance from previous prime (4638374369) and next prime (4638374431).

It is a tau number, because it is divible by the number of its divisors (480).

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, 33369531 + ... + 33369669.

It is an arithmetic number, because the mean of its divisors is an integer number (35518560).

Almost surely, 2^4638374400 is an apocalyptic number.

4638374400 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 4638374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8524454400).

4638374400 is an abundant number, since it is smaller than the sum of its proper divisors (12410534400).

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

4638374400 is a wasteful number, since it uses less digits than its factorization.

4638374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 4638374400 is about 68105.6121035558. The cubic root of 4638374400 is about 1667.7153790941.

The spelling of 4638374400 in words is "four billion, six hundred thirty-eight million, three hundred seventy-four thousand, four hundred".