3478632480 has 576 divisors, whose sum is σ = 13770207360. Its totient is φ = 824131584.

The previous prime is 3478632473. The next prime is 3478632503. The reversal of 3478632480 is 842368743.

3478632480 is a `hidden beast` number, since 3 + 4 + 7 + 8 + 632 + 4 + 8 + 0 = 666.

3478632480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12558102 + ... + 12558378.

It is an arithmetic number, because the mean of its divisors is an integer number (23906610).

Almost surely, 2^3478632480 is an apocalyptic number.

3478632480 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 3478632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885103680).

3478632480 is an abundant number, since it is smaller than the sum of its proper divisors (10291574880).

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

3478632480 is a wasteful number, since it uses less digits than its factorization.

3478632480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3478632480 is about 58979.9328585579. The cubic root of 3478632480 is about 1515.1984447434.

It can be divided in two parts, 34786324 and 80, that added together give a square (34786404 = 5898²).

The spelling of 3478632480 in words is "three billion, four hundred seventy-eight million, six hundred thirty-two thousand, four hundred eighty".