3479603650560 has 1680 divisors, whose sum is σ = 14021667095040. Its totient is φ = 823016816640.

The previous prime is 3479603650531. The next prime is 3479603650571. The reversal of 3479603650560 is 650563069743.

3479603650560 is a `hidden beast` number, since 3 + 4 + 79 + 6 + 0 + 3 + 6 + 5 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3479603650497 and 3479603650506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18217820065 + ... + 18217820255.

Almost surely, 2^{3479603650560} is an apocalyptic number.

3479603650560 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 3479603650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7010833547520).

3479603650560 is an abundant number, since it is smaller than the sum of its proper divisors (10542063444480).

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

3479603650560 is a wasteful number, since it uses less digits than its factorization.

3479603650560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 3479603650560 in words is "three trillion, four hundred seventy-nine billion, six hundred three million, six hundred fifty thousand, five hundred sixty".