3089936461920 has 768 divisors, whose sum is σ = 12240981688320. Its totient is φ = 636486451200.

The previous prime is 3089936461891. The next prime is 3089936461943. The reversal of 3089936461920 is 291646399803.

It is a super-2 number, since 2×3089936461920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 127 ways as a sum of consecutive naturals, for example, 2342635021 + ... + 2342636339.

It is an arithmetic number, because the mean of its divisors is an integer number (15938778240).

Almost surely, 2^{3089936461920} is an apocalyptic number.

3089936461920 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 3089936461920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120490844160).

3089936461920 is an abundant number, since it is smaller than the sum of its proper divisors (9151045226400).

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

3089936461920 is a wasteful number, since it uses less digits than its factorization.

3089936461920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 60.

The spelling of 3089936461920 in words is "three trillion, eighty-nine billion, nine hundred thirty-six million, four hundred sixty-one thousand, nine hundred twenty".