3461071680 has 560 divisors, whose sum is σ = 13719657600. Its totient is φ = 821145600.

The previous prime is 3461071609. The next prime is 3461071699. The reversal of 3461071680 is 861701643.

3461071680 is a `hidden beast` number, since 34 + 610 + 7 + 1 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17392221 + ... + 17392419.

Almost surely, 2^3461071680 is an apocalyptic number.

3461071680 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 3461071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6859828800).

3461071680 is an abundant number, since it is smaller than the sum of its proper divisors (10258585920).

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

3461071680 is a wasteful number, since it uses less digits than its factorization.

3461071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3461071680 is about 58830.8735274261. The cubic root of 3461071680 is about 1512.6444720500.

The spelling of 3461071680 in words is "three billion, four hundred sixty-one million, seventy-one thousand, six hundred eighty".