5331734400 has 192 divisors, whose sum is σ = 18486316800. Its totient is φ = 1346918400.

The previous prime is 5331734383. The next prime is 5331734417. The reversal of 5331734400 is 44371335.

It is an interprime number because it is at equal distance from previous prime (5331734383) and next prime (5331734417).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167785 + ... + 197015.

It is an arithmetic number, because the mean of its divisors is an integer number (96282900).

Almost surely, 2^5331734400 is an apocalyptic number.

5331734400 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 5331734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9243158400).

5331734400 is an abundant number, since it is smaller than the sum of its proper divisors (13154582400).

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

5331734400 is a wasteful number, since it uses less digits than its factorization.

5331734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29277 (or 29260 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 5331734400 is about 73018.7263652277. The cubic root of 5331734400 is about 1746.9863124058.

The spelling of 5331734400 in words is "five billion, three hundred thirty-one million, seven hundred thirty-four thousand, four hundred".