3480234240 has 288 divisors, whose sum is σ = 13002587136. Its totient is φ = 776724480.

The previous prime is 3480234223. The next prime is 3480234299. The reversal of 3480234240 is 424320843.

It is a super-2 number, since 2×3480234240² = 24224060730536755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3480234198 and 3480234207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1154335 + ... + 1157345.

It is an arithmetic number, because the mean of its divisors is an integer number (45147872).

Almost surely, 2^3480234240 is an apocalyptic number.

3480234240 is a gapful number since it is divisible by the number (30) 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 3480234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6501293568).

3480234240 is an abundant number, since it is smaller than the sum of its proper divisors (9522352896).

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

3480234240 is a wasteful number, since it uses less digits than its factorization.

3480234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 3480234240 is about 58993.5101515412. The cubic root of 3480234240 is about 1515.4309702031.

The spelling of 3480234240 in words is "three billion, four hundred eighty million, two hundred thirty-four thousand, two hundred forty".