3118401000 has 384 divisors, whose sum is σ = 12387997440. Its totient is φ = 697536000.

The previous prime is 3118400953. The next prime is 3118401007. The reversal of 3118401000 is 1048113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3118401007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1285789 + ... + 1288211.

It is an arithmetic number, because the mean of its divisors is an integer number (32260410).

Almost surely, 2^3118401000 is an apocalyptic number.

3118401000 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 3118401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193998720).

3118401000 is an abundant number, since it is smaller than the sum of its proper divisors (9269596440).

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

3118401000 is a wasteful number, since it uses less digits than its factorization.

3118401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 3118401000 is about 55842.6449946634. The cubic root of 3118401000 is about 1460.9790455838.

Adding to 3118401000 its reverse (1048113), we get a palindrome (3119449113).

The spelling of 3118401000 in words is "three billion, one hundred eighteen million, four hundred one thousand".