3413876544 has 280 divisors, whose sum is σ = 10997854560. Its totient is φ = 1040864256.

The previous prime is 3413876513. The next prime is 3413876563. The reversal of 3413876544 is 4456783143.

3413876544 is a `hidden beast` number, since 3 + 4 + 1 + 38 + 76 + 544 = 666.

Its product of digits (967680) is a multiple of the sum of its prime divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 3413876544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12063027 + ... + 12063309.

It is an arithmetic number, because the mean of its divisors is an integer number (39278052).

Almost surely, 2^3413876544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413876544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5498927280).

3413876544 is an abundant number, since it is smaller than the sum of its proper divisors (7583978016).

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

3413876544 is a wasteful number, since it uses less digits than its factorization.

3413876544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 480 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 3413876544 is about 58428.3881687660. The cubic root of 3413876544 is about 1505.7375139743.

The spelling of 3413876544 in words is "three billion, four hundred thirteen million, eight hundred seventy-six thousand, five hundred forty-four".