3486473280 has 280 divisors, whose sum is σ = 12805013760. Its totient is φ = 899527680.

The previous prime is 3486473257. The next prime is 3486473303. The reversal of 3486473280 is 823746843.

It is an interprime number because it is at equal distance from previous prime (3486473257) and next prime (3486473303).

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

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 39 ways as a sum of consecutive naturals, for example, 801351 + ... + 805689.

It is an arithmetic number, because the mean of its divisors is an integer number (45732192).

Almost surely, 2^3486473280 is an apocalyptic number.

3486473280 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 3486473280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402506880).

3486473280 is an abundant number, since it is smaller than the sum of its proper divisors (9318540480).

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

3486473280 is a wasteful number, since it uses less digits than its factorization.

3486473280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4399 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3486473280 is about 59046.3655105037. The cubic root of 3486473280 is about 1516.3360041264.

The spelling of 3486473280 in words is "three billion, four hundred eighty-six million, four hundred seventy-three thousand, two hundred eighty".