3484974240 has 576 divisors, whose sum is σ = 13754966400. Its totient is φ = 823173120.

The previous prime is 3484974221. The next prime is 3484974253. The reversal of 3484974240 is 424794843.

3484974240 is a `hidden beast` number, since 3 + 484 + 97 + 42 + 40 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 30840424 + ... + 30840536.

It is an arithmetic number, because the mean of its divisors is an integer number (23880150).

Almost surely, 2^3484974240 is an apocalyptic number.

3484974240 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 3484974240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6877483200).

3484974240 is an abundant number, since it is smaller than the sum of its proper divisors (10269992160).

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

3484974240 is a wasteful number, since it uses less digits than its factorization.

3484974240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 193 counting only the distinct ones).

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

The square root of 3484974240 is about 59033.6703924125. The cubic root of 3484974240 is about 1516.1186522839.

The spelling of 3484974240 in words is "three billion, four hundred eighty-four million, nine hundred seventy-four thousand, two hundred forty".