3119425283520 has 2688 divisors, whose sum is σ = 15154226841600. Its totient is φ = 595954630656.

The previous prime is 3119425283503. The next prime is 3119425283551. The reversal of 3119425283520 is 253825249113.

3119425283520 is a `hidden beast` number, since 3 + 1 + 1 + 9 + 42 + 5 + 2 + 83 + 520 = 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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2405107512 + ... + 2405108808.

It is an arithmetic number, because the mean of its divisors is an integer number (5637733200).

Almost surely, 2^{3119425283520} is an apocalyptic number.

3119425283520 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 3119425283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7577113420800).

3119425283520 is an abundant number, since it is smaller than the sum of its proper divisors (12034801558080).

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

3119425283520 is a wasteful number, since it uses less digits than its factorization.

3119425283520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 3119425283520 in words is "three trillion, one hundred nineteen billion, four hundred twenty-five million, two hundred eighty-three thousand, five hundred twenty".