3480413184 has 264 divisors, whose sum is σ = 10622259648. Its totient is φ = 1137991680.

The previous prime is 3480413149. The next prime is 3480413227. The reversal of 3480413184 is 4813140843.

It is a super-2 number, since 2×3480413184² = 24226551862722035712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 17666974 + ... + 17667170.

It is an arithmetic number, because the mean of its divisors is an integer number (40235832).

Almost surely, 2^3480413184 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 3480413184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311129824).

3480413184 is an abundant number, since it is smaller than the sum of its proper divisors (7141846464).

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

3480413184 is an equidigital number, since it uses as much as digits as its factorization.

3480413184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3480413184 is about 58995.0267734493. The cubic root of 3480413184 is about 1515.4569428449.

The spelling of 3480413184 in words is "three billion, four hundred eighty million, four hundred thirteen thousand, one hundred eighty-four".