3451312144 has 80 divisors (see below), whose sum is σ = 7796822400. Its totient is φ = 1449372672.

The previous prime is 3451312087. The next prime is 3451312153. The reversal of 3451312144 is 4412131543.

It is a super-3 number, since 3×3451312144³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2702034 + ... + 2703310.

It is an arithmetic number, because the mean of its divisors is an integer number (97460280).

Almost surely, 2^3451312144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3451312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898411200).

3451312144 is an abundant number, since it is smaller than the sum of its proper divisors (4345510256).

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

3451312144 is a wasteful number, since it uses less digits than its factorization.

3451312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1754 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 3451312144 is about 58747.8692720000. The cubic root of 3451312144 is about 1511.2213477218.

Adding to 3451312144 its reverse (4412131543), we get a palindrome (7863443687).

The spelling of 3451312144 in words is "three billion, four hundred fifty-one million, three hundred twelve thousand, one hundred forty-four".