3478740480 has 160 divisors (see below), whose sum is σ = 12357021600. Its totient is φ = 927645696.

The previous prime is 3478740479. The next prime is 3478740487. The reversal of 3478740480 is 840478743.

3478740480 is a `hidden beast` number, since 34 + 78 + 74 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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 (3478740487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43956 + ... + 94284.

It is an arithmetic number, because the mean of its divisors is an integer number (77231385).

Almost surely, 2^3478740480 is an apocalyptic number.

3478740480 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 3478740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6178510800).

3478740480 is an abundant number, since it is smaller than the sum of its proper divisors (8878281120).

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

3478740480 is an equidigital number, since it uses as much as digits as its factorization.

3478740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50361 (or 50339 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 3478740480 is about 58980.8484170921. The cubic root of 3478740480 is about 1515.2141252098.

The spelling of 3478740480 in words is "three billion, four hundred seventy-eight million, seven hundred forty thousand, four hundred eighty".