3920268549000 has 128 divisors (see below), whose sum is σ = 12238461331200. Its totient is φ = 1044787558400.

The previous prime is 3920268548953. The next prime is 3920268549007. The reversal of 3920268549000 is 9458620293.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3920268549007) 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 31 ways as a sum of consecutive naturals, for example, 4705981 + ... + 5476019.

It is an arithmetic number, because the mean of its divisors is an integer number (95612979150).

Almost surely, 2^{3920268549000} is an apocalyptic number.

3920268549000 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 3920268549000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6119230665600).

3920268549000 is an abundant number, since it is smaller than the sum of its proper divisors (8318192782200).

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

3920268549000 is a wasteful number, since it uses less digits than its factorization.

3920268549000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771760 (or 771746 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 3920268549000 in words is "three trillion, nine hundred twenty billion, two hundred sixty-eight million, five hundred forty-nine thousand".