3898056960 has 720 divisors, whose sum is σ = 16453971072. Its totient is φ = 862617600.

The previous prime is 3898056937. The next prime is 3898056961. The reversal of 3898056960 is 696508983.

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 3898056897 and 3898056906.

It is not an unprimeable number, because it can be changed into a prime (3898056961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29756095 + ... + 29756225.

Almost surely, 2^3898056960 is an apocalyptic number.

3898056960 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 3898056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8226985536).

3898056960 is an abundant number, since it is smaller than the sum of its proper divisors (12555914112).

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

3898056960 is a wasteful number, since it uses less digits than its factorization.

3898056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 3898056960 is about 62434.4212754471. The cubic root of 3898056960 is about 1573.7994660854.

The spelling of 3898056960 in words is "three billion, eight hundred ninety-eight million, fifty-six thousand, nine hundred sixty".