3461545080 has 192 divisors, whose sum is σ = 13416399360. Its totient is φ = 756797184.

The previous prime is 3461545013. The next prime is 3461545093. The reversal of 3461545080 is 805451643.

It is a happy number.

3461545080 is a `hidden beast` number, since 34 + 6 + 1 + 545 + 0 + 80 = 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 47 ways as a sum of consecutive naturals, for example, 28099 + ... + 87821.

It is an arithmetic number, because the mean of its divisors is an integer number (69877080).

Almost surely, 2^3461545080 is an apocalyptic number.

3461545080 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 3461545080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708199680).

3461545080 is an abundant number, since it is smaller than the sum of its proper divisors (9954854280).

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

3461545080 is a wasteful number, since it uses less digits than its factorization.

3461545080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59770 (or 59763 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3461545080 is about 58834.8967875359. The cubic root of 3461545080 is about 1512.7134346251.

The spelling of 3461545080 in words is "three billion, four hundred sixty-one million, five hundred forty-five thousand, eighty".