3461220000 has 720 divisors, whose sum is σ = 14614471872. Its totient is φ = 760320000.

The previous prime is 3461219999. The next prime is 3461220001. The reversal of 3461220000 is 221643.

It is a happy number.

3461220000 is a `hidden beast` number, since 3 + 461 + 2 + 200 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3461219999) and next prime (3461220001).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3461220001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 51659967 + ... + 51660033.

Almost surely, 2^3461220000 is an apocalyptic number.

3461220000 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 3461220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7307235936).

3461220000 is an abundant number, since it is smaller than the sum of its proper divisors (11153251872).

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

3461220000 is a wasteful number, since it uses less digits than its factorization.

3461220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3461220000 is about 58832.1340765402. The cubic root of 3461220000 is about 1512.6660792519. Note that the first 3 decimals are identical.

Adding to 3461220000 its reverse (221643), we get a palindrome (3461441643).

The spelling of 3461220000 in words is "three billion, four hundred sixty-one million, two hundred twenty thousand".