3849006720 has 512 divisors, whose sum is σ = 14361338880. Its totient is φ = 868220928.

The previous prime is 3849006697. The next prime is 3849006727. The reversal of 3849006720 is 276009483.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3849006727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19942944 + ... + 19943136.

It is an arithmetic number, because the mean of its divisors is an integer number (28049490).

Almost surely, 2^3849006720 is an apocalyptic number.

3849006720 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 3849006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180669440).

3849006720 is an abundant number, since it is smaller than the sum of its proper divisors (10512332160).

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

3849006720 is a wasteful number, since it uses less digits than its factorization.

3849006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 3849006720 is about 62040.3636352979. The cubic root of 3849006720 is about 1567.1704101138.

The spelling of 3849006720 in words is "three billion, eight hundred forty-nine million, six thousand, seven hundred twenty".