3893049120 has 96 divisors (see below), whose sum is σ = 12431204352. Its totient is φ = 1023916032.

The previous prime is 3893049109. The next prime is 3893049143. The reversal of 3893049120 is 219403983.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20512 + ... + 90591.

It is an arithmetic number, because the mean of its divisors is an integer number (129491712).

Almost surely, 2^3893049120 is an apocalyptic number.

3893049120 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 3893049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215602176).

3893049120 is an abundant number, since it is smaller than the sum of its proper divisors (8538155232).

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

3893049120 is a wasteful number, since it uses less digits than its factorization.

3893049120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111194 (or 111186 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3893049120 is about 62394.3035861448. The cubic root of 3893049120 is about 1573.1252230403.

The spelling of 3893049120 in words is "three billion, eight hundred ninety-three million, forty-nine thousand, one hundred twenty".