3478265280 has 672 divisors, whose sum is σ = 14971776000. Its totient is φ = 744505344.

The previous prime is 3478265261. The next prime is 3478265281. The reversal of 3478265280 is 825628743.

3478265280 is a `hidden beast` number, since 3 + 47 + 82 + 6 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3478265281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17478621 + ... + 17478819.

Almost surely, 2^3478265280 is an apocalyptic number.

3478265280 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 3478265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485888000).

3478265280 is an abundant number, since it is smaller than the sum of its proper divisors (11493510720).

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

3478265280 is a wasteful number, since it uses less digits than its factorization.

3478265280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3478265280 is about 58976.8198532271. The cubic root of 3478265280 is about 1515.1451287301.

The spelling of 3478265280 in words is "three billion, four hundred seventy-eight million, two hundred sixty-five thousand, two hundred eighty".