3841207920 has 720 divisors, whose sum is σ = 15560004096. Its totient is φ = 878169600.

The previous prime is 3841207907. The next prime is 3841207957. The reversal of 3841207920 is 297021483.

3841207920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54101485 + ... + 54101555.

Almost surely, 2^3841207920 is an apocalyptic number.

3841207920 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 3841207920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7780002048).

3841207920 is an abundant number, since it is smaller than the sum of its proper divisors (11718796176).

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

3841207920 is a wasteful number, since it uses less digits than its factorization.

3841207920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3841207920 is about 61977.4791355699. The cubic root of 3841207920 is about 1566.1112353276. Note that the first 3 decimals are identical.

The spelling of 3841207920 in words is "three billion, eight hundred forty-one million, two hundred seven thousand, nine hundred twenty".