3079368145920 has 2112 divisors, whose sum is σ = 12294419558400. Its totient is φ = 653996851200.

The previous prime is 3079368145913. The next prime is 3079368145967. The reversal of 3079368145920 is 295418639703.

It is a tau number, because it is divible by the number of its divisors (2112).

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, 31746063312 + ... + 31746063408.

It is a 2-persistent number, because it is pandigital, and so is 2⋅3079368145920 = 6158736291840, but 3⋅3079368145920 = 9238104437760 is not.

Almost surely, 2^{3079368145920} is an apocalyptic number.

3079368145920 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 3079368145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6147209779200).

3079368145920 is an abundant number, since it is smaller than the sum of its proper divisors (9215051412480).

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

3079368145920 is a wasteful number, since it uses less digits than its factorization.

3079368145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 3079368145920 in words is "three trillion, seventy-nine billion, three hundred sixty-eight million, one hundred forty-five thousand, nine hundred twenty".