3089772241920 has 3520 divisors, whose sum is σ = 14913531494400. Its totient is φ = 593374740480.

The previous prime is 3089772241909. The next prime is 3089772241943. The reversal of 3089772241920 is 291422779803.

It is a happy number.

3089772241920 is a `hidden beast` number, since 308 + 9 + 7 + 7 + 2 + 241 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 22228577211 + ... + 22228577349.

It is an arithmetic number, because the mean of its divisors is an integer number (4236798720).

Almost surely, 2^{3089772241920} is an apocalyptic number.

3089772241920 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 3089772241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7456765747200).

3089772241920 is an abundant number, since it is smaller than the sum of its proper divisors (11823759252480).

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

3089772241920 is a wasteful number, since it uses less digits than its factorization.

3089772241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 3089772241920 in words is "three trillion, eighty-nine billion, seven hundred seventy-two million, two hundred forty-one thousand, nine hundred twenty".