3419476560 has 280 divisors, whose sum is σ = 12624805800. Its totient is φ = 857972736.

The previous prime is 3419476549. The next prime is 3419476561. The reversal of 3419476560 is 656749143.

3419476560 is a `hidden beast` number, since 3 + 4 + 19 + 4 + 76 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43401744 + 3376074816 = 6588^2 + 58104^2 .

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 (3419476561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 989716 + ... + 993164.

Almost surely, 2^3419476560 is an apocalyptic number.

3419476560 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 3419476560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6312402900).

3419476560 is an abundant number, since it is smaller than the sum of its proper divisors (9205329240).

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

3419476560 is a wasteful number, since it uses less digits than its factorization.

3419476560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3419476560 is about 58476.2905800291. The cubic root of 3419476560 is about 1506.5603857297.

The spelling of 3419476560 in words is "three billion, four hundred nineteen million, four hundred seventy-six thousand, five hundred sixty".