3486228480 has 504 divisors, whose sum is σ = 14130730692. Its totient is φ = 792723456.

The previous prime is 3486228479. The next prime is 3486228481. The reversal of 3486228480 is 848226843.

3486228480 is a `hidden beast` number, since 348 + 6 + 228 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3486228479) and next prime (3486228481).

It can be written as a sum of positive squares in 2 ways, for example, as 3339915264 + 146313216 = 57792^2 + 12096^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×3486228480² = 24307578029526220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3486228481) 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 35 ways as a sum of consecutive naturals, for example, 18063264 + ... + 18063456.

Almost surely, 2^3486228480 is an apocalyptic number.

3486228480 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 3486228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7065365346).

3486228480 is an abundant number, since it is smaller than the sum of its proper divisors (10644502212).

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

3486228480 is a wasteful number, since it uses less digits than its factorization.

3486228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 3486228480 is about 59044.2925268819. The cubic root of 3486228480 is about 1516.3005138461.

The spelling of 3486228480 in words is "three billion, four hundred eighty-six million, two hundred twenty-eight thousand, four hundred eighty".