3898628722800 has 1680 divisors, whose sum is σ = 16867813962240. Its totient is φ = 846683228160.

The previous prime is 3898628722777. The next prime is 3898628722817. The reversal of 3898628722800 is 82278268983.

3898628722800 is a `hidden beast` number, since 389 + 8 + 6 + 28 + 7 + 228 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3966051109 + ... + 3966052091.

Almost surely, 2^{3898628722800} is an apocalyptic number.

3898628722800 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 3898628722800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8433906981120).

3898628722800 is an abundant number, since it is smaller than the sum of its proper divisors (12969185239440).

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

3898628722800 is a wasteful number, since it uses less digits than its factorization.

3898628722800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 3898628722800 in words is "three trillion, eight hundred ninety-eight billion, six hundred twenty-eight million, seven hundred twenty-two thousand, eight hundred".