3461882760 has 256 divisors, whose sum is σ = 13470105600. Its totient is φ = 774372096.

The previous prime is 3461882719. The next prime is 3461882791. The reversal of 3461882760 is 672881643.

3461882760 is a `hidden beast` number, since 3 + 4 + 618 + 8 + 27 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 350449 + ... + 360191.

It is an arithmetic number, because the mean of its divisors is an integer number (52617600).

Almost surely, 2^3461882760 is an apocalyptic number.

3461882760 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 3461882760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6735052800).

3461882760 is an abundant number, since it is smaller than the sum of its proper divisors (10008222840).

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

3461882760 is a wasteful number, since it uses less digits than its factorization.

3461882760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9817 (or 9807 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3461882760 is about 58837.7664429914. The cubic root of 3461882760 is about 1512.7626223387.

The spelling of 3461882760 in words is "three billion, four hundred sixty-one million, eight hundred eighty-two thousand, seven hundred sixty".