3117734400 has 480 divisors, whose sum is σ = 11514102336. Its totient is φ = 743424000.

The previous prime is 3117734371. The next prime is 3117734401. The reversal of 3117734400 is 44377113.

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

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

It is not an unprimeable number, because it can be changed into a prime (3117734401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51110370 + ... + 51110430.

Almost surely, 2^3117734400 is an apocalyptic number.

3117734400 is a gapful number since it is divisible by the number (30) 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 3117734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757051168).

3117734400 is an abundant number, since it is smaller than the sum of its proper divisors (8396367936).

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

3117734400 is an equidigital number, since it uses as much as digits as its factorization.

3117734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 3117734400 is about 55836.6761188379. The cubic root of 3117734400 is about 1460.8749368825.

The spelling of 3117734400 in words is "three billion, one hundred seventeen million, seven hundred thirty-four thousand, four hundred".