3480084480 has 224 divisors, whose sum is σ = 11273601024. Its totient is φ = 916586496.

The previous prime is 3480084431. The next prime is 3480084493. The reversal of 3480084480 is 844800843.

It is a super-2 number, since 2×3480084480² = 24221975975873740800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15605649 + ... + 15605871.

It is an arithmetic number, because the mean of its divisors is an integer number (50328576).

Almost surely, 2^3480084480 is an apocalyptic number.

3480084480 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 3480084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5636800512).

3480084480 is an abundant number, since it is smaller than the sum of its proper divisors (7793516544).

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

3480084480 is a wasteful number, since it uses less digits than its factorization.

3480084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 3480084480 is about 58992.2408457248. The cubic root of 3480084480 is about 1515.4092327584.

The spelling of 3480084480 in words is "three billion, four hundred eighty million, eighty-four thousand, four hundred eighty".