3480052128 has 144 divisors (see below), whose sum is σ = 10688539680. Its totient is φ = 988506624.

The previous prime is 3480052127. The next prime is 3480052129. The reversal of 3480052128 is 8212500843.

3480052128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3480052127) and next prime (3480052129).

It is a super-2 number, since 2×3480052128² = 24221525627194656768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3480052127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 839950 + ... + 844082.

It is an arithmetic number, because the mean of its divisors is an integer number (74225970).

Almost surely, 2^3480052128 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 3480052128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5344269840).

3480052128 is an abundant number, since it is smaller than the sum of its proper divisors (7208487552).

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

3480052128 is a wasteful number, since it uses less digits than its factorization.

3480052128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4339 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 3480052128 is about 58991.9666395349. The cubic root of 3480052128 is about 1515.4045368311.

The spelling of 3480052128 in words is "three billion, four hundred eighty million, fifty-two thousand, one hundred twenty-eight".