3890813472 has 288 divisors, whose sum is σ = 14060067840. Its totient is φ = 992839680.

The previous prime is 3890813431. The next prime is 3890813473. The reversal of 3890813472 is 2743180983.

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

It is not an unprimeable number, because it can be changed into a prime (3890813473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 810054 + ... + 814842.

It is an arithmetic number, because the mean of its divisors is an integer number (48819680).

Almost surely, 2^3890813472 is an apocalyptic number.

3890813472 is a gapful number since it is divisible by the number (32) 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 3890813472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030033920).

3890813472 is an abundant number, since it is smaller than the sum of its proper divisors (10169254368).

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

3890813472 is a wasteful number, since it uses less digits than its factorization.

3890813472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856 (or 4845 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3890813472 is about 62376.3855317058. The cubic root of 3890813472 is about 1572.8240342987.

The spelling of 3890813472 in words is "three billion, eight hundred ninety million, eight hundred thirteen thousand, four hundred seventy-two".