3117740400 has 270 divisors, whose sum is σ = 11423599200. Its totient is φ = 787311360.

The previous prime is 3117740369. The next prime is 3117740411. The reversal of 3117740400 is 40477113.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1298401 + ... + 1300799.

Almost surely, 2^3117740400 is an apocalyptic number.

3117740400 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 3117740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711799600).

3117740400 is an abundant number, since it is smaller than the sum of its proper divisors (8305858800).

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

3117740400 is a wasteful number, since it uses less digits than its factorization.

3117740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 3117740400 is about 55836.7298469386. The cubic root of 3117740400 is about 1460.8758740207.

The spelling of 3117740400 in words is "three billion, one hundred seventeen million, seven hundred forty thousand, four hundred".