3418957248 has 112 divisors (see below), whose sum is σ = 10463174400. Its totient is φ = 965044224.

The previous prime is 3418957247. The next prime is 3418957277. The reversal of 3418957248 is 8427598143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 3418957248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3418957247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96228 + ... + 126876.

It is an arithmetic number, because the mean of its divisors is an integer number (93421200).

Almost surely, 2^3418957248 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 3418957248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5231587200).

3418957248 is an abundant number, since it is smaller than the sum of its proper divisors (7044217152).

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

3418957248 is a wasteful number, since it uses less digits than its factorization.

3418957248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30754 (or 30744 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 3418957248 is about 58471.8500476939. The cubic root of 3418957248 is about 1506.4841153335.

The spelling of 3418957248 in words is "three billion, four hundred eighteen million, nine hundred fifty-seven thousand, two hundred forty-eight".