3427513056 has 504 divisors, whose sum is σ = 11963287224. Its totient is φ = 957381120.

The previous prime is 3427513049. The next prime is 3427513081. The reversal of 3427513056 is 6503157243.

3427513056 is a `hidden beast` number, since 342 + 7 + 5 + 1 + 305 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 3427513056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 92635470 + ... + 92635506.

It is an arithmetic number, because the mean of its divisors is an integer number (23736681).

Almost surely, 2^3427513056 is an apocalyptic number.

3427513056 is a gapful number since it is divisible by the number (36) 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 3427513056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5981643612).

3427513056 is an abundant number, since it is smaller than the sum of its proper divisors (8535774168).

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

3427513056 is a wasteful number, since it uses less digits than its factorization.

3427513056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3427513056 is about 58544.9661029879. The cubic root of 3427513056 is about 1507.7397079279.

The spelling of 3427513056 in words is "three billion, four hundred twenty-seven million, five hundred thirteen thousand, fifty-six".