3418941312 has 320 divisors, whose sum is σ = 10730134800. Its totient is φ = 1079156736.

The previous prime is 3418941289. The next prime is 3418941343. The reversal of 3418941312 is 2131498143.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24955708 + ... + 24955844.

Almost surely, 2^3418941312 is an apocalyptic number.

3418941312 is a gapful number since it is divisible by the number (32) 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 3418941312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5365067400).

3418941312 is an abundant number, since it is smaller than the sum of its proper divisors (7311193488).

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

3418941312 is a wasteful number, since it uses less digits than its factorization.

3418941312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 254 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 3418941312 is about 58471.7137768340. The cubic root of 3418941312 is about 1506.4817747204.

It can be divided in two parts, 341894 and 1312, that added together give a triangular number (343206 = T₈₂₈).

The spelling of 3418941312 in words is "three billion, four hundred eighteen million, nine hundred forty-one thousand, three hundred twelve".