3483649068240 has 960 divisors, whose sum is σ = 12901364259840. Its totient is φ = 768950599680.

The previous prime is 3483649068223. The next prime is 3483649068257. The reversal of 3483649068240 is 428609463843.

It is an interprime number because it is at equal distance from previous prime (3483649068223) and next prime (3483649068257).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6660896619 + ... + 6660897141.

It is an arithmetic number, because the mean of its divisors is an integer number (13438921104).

Almost surely, 2^{3483649068240} is an apocalyptic number.

3483649068240 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 3483649068240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6450682129920).

3483649068240 is an abundant number, since it is smaller than the sum of its proper divisors (9417715191600).

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

3483649068240 is a wasteful number, since it uses less digits than its factorization.

3483649068240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 57.

The spelling of 3483649068240 in words is "three trillion, four hundred eighty-three billion, six hundred forty-nine million, sixty-eight thousand, two hundred forty".