4937738400 has 864 divisors, whose sum is σ = 21872350080. Its totient is φ = 1052835840.

The previous prime is 4937738369. The next prime is 4937738413. The reversal of 4937738400 is 48377394.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43696744 + ... + 43696856.

It is an arithmetic number, because the mean of its divisors is an integer number (25315220).

Almost surely, 2^4937738400 is an apocalyptic number.

4937738400 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 4937738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10936175040).

4937738400 is an abundant number, since it is smaller than the sum of its proper divisors (16934611680).

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

4937738400 is a wasteful number, since it uses less digits than its factorization.

4937738400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 4937738400 is about 70269.0429705713. The cubic root of 4937738400 is about 1702.8485575614.

The spelling of 4937738400 in words is "four billion, nine hundred thirty-seven million, seven hundred thirty-eight thousand, four hundred".