5034794400 has 216 divisors, whose sum is σ = 18366910380. Its totient is φ = 1296261120.

The previous prime is 5034794389. The next prime is 5034794411. The reversal of 5034794400 is 44974305.

It is an interprime number because it is at equal distance from previous prime (5034794389) and next prime (5034794411).

It can be written as a sum of positive squares in 6 ways, for example, as 2293643664 + 2741150736 = 47892^2 + 52356^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 196744 + ... + 220856.

Almost surely, 2^5034794400 is an apocalyptic number.

5034794400 is a gapful number since it is divisible by the number (50) 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 5034794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9183455190).

5034794400 is an abundant number, since it is smaller than the sum of its proper divisors (13332115980).

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

5034794400 is a wasteful number, since it uses less digits than its factorization.

5034794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24168 (or 24152 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5034794400 is about 70956.2851338766. The cubic root of 5034794400 is about 1713.9332870759.

The spelling of 5034794400 in words is "five billion, thirty-four million, seven hundred ninety-four thousand, four hundred".