3462418944 has 240 divisors, whose sum is σ = 10686012480. Its totient is φ = 1076060160.

The previous prime is 3462418937. The next prime is 3462418961. The reversal of 3462418944 is 4498142643.

3462418944 is a `hidden beast` number, since 3 + 4 + 624 + 18 + 9 + 4 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3462418944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6215914 + ... + 6216470.

It is an arithmetic number, because the mean of its divisors is an integer number (44525052).

Almost surely, 2^3462418944 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 3462418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343006240).

3462418944 is an abundant number, since it is smaller than the sum of its proper divisors (7223593536).

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

3462418944 is a wasteful number, since it uses less digits than its factorization.

3462418944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 652 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 3462418944 is about 58842.3227277782. The cubic root of 3462418944 is about 1512.8407183053.

The spelling of 3462418944 in words is "three billion, four hundred sixty-two million, four hundred eighteen thousand, nine hundred forty-four".