3483239760 has 960 divisors, whose sum is σ = 16378951680. Its totient is φ = 664381440.

The previous prime is 3483239743. The next prime is 3483239777. The reversal of 3483239760 is 679323843.

3483239760 is a `hidden beast` number, since 3 + 483 + 23 + 97 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3483239743) and next prime (3483239777).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19459351 + ... + 19459529.

It is an arithmetic number, because the mean of its divisors is an integer number (17061408).

Almost surely, 2^3483239760 is an apocalyptic number.

3483239760 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 3483239760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189475840).

3483239760 is an abundant number, since it is smaller than the sum of its proper divisors (12895711920).

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

3483239760 is a wasteful number, since it uses less digits than its factorization.

3483239760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3483239760 is about 59018.9779647191. The cubic root of 3483239760 is about 1515.8670852530.

The spelling of 3483239760 in words is "three billion, four hundred eighty-three million, two hundred thirty-nine thousand, seven hundred sixty".