3421561680 has 120 divisors (see below), whose sum is σ = 11801397192. Its totient is φ = 887749632.

The previous prime is 3421561679. The next prime is 3421561681. The reversal of 3421561680 is 861651243.

It is a happy number.

3421561680 is a `hidden beast` number, since 34 + 2 + 1 + 5 + 616 + 8 + 0 = 666.

3421561680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3421561679) and next prime (3421561681).

It can be written as a sum of positive squares in 4 ways, for example, as 195776064 + 3225785616 = 13992^2 + 56796^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×3421561680³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421561681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37579 + ... + 90858.

Almost surely, 2^3421561680 is an apocalyptic number.

3421561680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3421561680 is an abundant number, since it is smaller than the sum of its proper divisors (8379835512).

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

3421561680 is a wasteful number, since it uses less digits than its factorization.

3421561680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128493 (or 128484 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3421561680 is about 58494.1166272301. The cubic root of 3421561680 is about 1506.8665457362.

The spelling of 3421561680 in words is "three billion, four hundred twenty-one million, five hundred sixty-one thousand, six hundred eighty".