3479550480 has 320 divisors, whose sum is σ = 14504071680. Its totient is φ = 748486656.

The previous prime is 3479550461. The next prime is 3479550491. The reversal of 3479550480 is 840559743.

3479550480 is a `hidden beast` number, since 34 + 7 + 95 + 50 + 480 = 666.

3479550480 is digitally balanced in base 2 and base 4, because in such bases 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 63 ways as a sum of consecutive naturals, for example, 250272 + ... + 263808.

It is an arithmetic number, because the mean of its divisors is an integer number (45325224).

Almost surely, 2^3479550480 is an apocalyptic number.

3479550480 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 3479550480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7252035840).

3479550480 is an abundant number, since it is smaller than the sum of its proper divisors (11024521200).

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

3479550480 is a wasteful number, since it uses less digits than its factorization.

3479550480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13583 (or 13571 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3479550480 is about 58987.7146531377. The cubic root of 3479550480 is about 1515.3317183638.

The spelling of 3479550480 in words is "three billion, four hundred seventy-nine million, five hundred fifty thousand, four hundred eighty".