3484047840 has 576 divisors, whose sum is σ = 14125321728. Its totient is φ = 702812160.

The previous prime is 3484047829. The next prime is 3484047869. The reversal of 3484047840 is 487404843.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3484047792 and 3484047801.

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, 41976439 + ... + 41976521.

It is an arithmetic number, because the mean of its divisors is an integer number (24523128).

Almost surely, 2^3484047840 is an apocalyptic number.

3484047840 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 3484047840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7062660864).

3484047840 is an abundant number, since it is smaller than the sum of its proper divisors (10641273888).

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

3484047840 is a wasteful number, since it uses less digits than its factorization.

3484047840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The square root of 3484047840 is about 59025.8235012439. The cubic root of 3484047840 is about 1515.9842986564.

The spelling of 3484047840 in words is "three billion, four hundred eighty-four million, forty-seven thousand, eight hundred forty".