3899646720 has 288 divisors, whose sum is σ = 14106052800. Its totient is φ = 1019805696.

The previous prime is 3899646703. The next prime is 3899646721. The reversal of 3899646720 is 276469983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (3899646721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1830616 + ... + 1832744.

It is an arithmetic number, because the mean of its divisors is an integer number (48979350).

Almost surely, 2^3899646720 is an apocalyptic number.

3899646720 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 3899646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053026400).

3899646720 is an abundant number, since it is smaller than the sum of its proper divisors (10206406080).

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

3899646720 is a wasteful number, since it uses less digits than its factorization.

3899646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3899646720 is about 62447.1514162175. The cubic root of 3899646720 is about 1574.0133866287.

The spelling of 3899646720 in words is "three billion, eight hundred ninety-nine million, six hundred forty-six thousand, seven hundred twenty".