3480238944 has 432 divisors, whose sum is σ = 12648007008. Its totient is φ = 883851264.

The previous prime is 3480238919. The next prime is 3480238967. The reversal of 3480238944 is 4498320843.

3480238944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3480238944² = 24224126214668470272, which contains 22 as substring.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 3480238944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35878704 + ... + 35878800.

It is an arithmetic number, because the mean of its divisors is an integer number (29277794).

Almost surely, 2^3480238944 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 3480238944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324003504).

3480238944 is an abundant number, since it is smaller than the sum of its proper divisors (9167768064).

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

3480238944 is a wasteful number, since it uses less digits than its factorization.

3480238944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 159 counting only the distinct ones).

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

The square root of 3480238944 is about 58993.5500203200. The cubic root of 3480238944 is about 1515.4316529717.

The spelling of 3480238944 in words is "three billion, four hundred eighty million, two hundred thirty-eight thousand, nine hundred forty-four".