3083703120960 has 672 divisors, whose sum is σ = 12327202062336. Its totient is φ = 639307468800.

The previous prime is 3083703120943. The next prime is 3083703120977. The reversal of 3083703120960 is 690213073803.

It is a happy number.

3083703120960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3083703120943) and next prime (3083703120977).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 376470465 + ... + 376478655.

It is an arithmetic number, because the mean of its divisors is an integer number (18344050688).

Almost surely, 2^{3083703120960} is an apocalyptic number.

3083703120960 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 3083703120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6163601031168).

3083703120960 is an abundant number, since it is smaller than the sum of its proper divisors (9243498941376).

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

3083703120960 is a wasteful number, since it uses less digits than its factorization.

3083703120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8703 (or 8682 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 3083703120960 in words is "three trillion, eighty-three billion, seven hundred three million, one hundred twenty thousand, nine hundred sixty".