3922767300480 has 1024 divisors, whose sum is σ = 14847805440000. Its totient is φ = 880450314240.

The previous prime is 3922767300469. The next prime is 3922767300481. The reversal of 3922767300480 is 840037672293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3922767300481) by changing a digit.

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, 12613399525 + ... + 12613399835.

It is an arithmetic number, because the mean of its divisors is an integer number (14499810000).

Almost surely, 2^{3922767300480} is an apocalyptic number.

3922767300480 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 3922767300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7423902720000).

3922767300480 is an abundant number, since it is smaller than the sum of its proper divisors (10925038139520).

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

3922767300480 is a wasteful number, since it uses less digits than its factorization.

3922767300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 3922767300480 in words is "three trillion, nine hundred twenty-two billion, seven hundred sixty-seven million, three hundred thousand, four hundred eighty".