3898368000 has 560 divisors, whose sum is σ = 14843784384. Its totient is φ = 1017446400.

The previous prime is 3898367981. The next prime is 3898368013. The reversal of 3898368000 is 8638983.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82943977 + ... + 82944023.

Almost surely, 2^3898368000 is an apocalyptic number.

3898368000 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 3898368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7421892192).

3898368000 is an abundant number, since it is smaller than the sum of its proper divisors (10945416384).

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

3898368000 is an frugal number, since it uses more digits than its factorization.

3898368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3898368000 is about 62436.9121593949. The cubic root of 3898368000 is about 1573.8413246807.

The spelling of 3898368000 in words is "three billion, eight hundred ninety-eight million, three hundred sixty-eight thousand".