3486430080 has 1024 divisors, whose sum is σ = 15628032000. Its totient is φ = 716636160.

The previous prime is 3486430049. The next prime is 3486430139. The reversal of 3486430080 is 800346843.

3486430080 is a `hidden beast` number, since 3 + 4 + 8 + 643 + 0 + 0 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85034860 + ... + 85034900.

It is an arithmetic number, because the mean of its divisors is an integer number (15261750).

Almost surely, 2^3486430080 is an apocalyptic number.

3486430080 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 3486430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814016000).

3486430080 is an abundant number, since it is smaller than the sum of its proper divisors (12141601920).

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

3486430080 is a wasteful number, since it uses less digits than its factorization.

3486430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3486430080 is about 59045.9996951529. Note that the first 3 decimals coincide. The cubic root of 3486430080 is about 1516.3297412565.

Adding to 3486430080 its sum of digits (36), we get a square (3486430116 = 59046²).

The spelling of 3486430080 in words is "three billion, four hundred eighty-six million, four hundred thirty thousand, eighty".