3890089800 has 168 divisors, whose sum is σ = 13560993090. Its totient is φ = 1037318400.

The previous prime is 3890089789. The next prime is 3890089873. The reversal of 3890089800 is 89800983.

It can be written as a sum of positive squares in 3 ways, for example, as 1416619044 + 2473470756 = 37638^2 + 49734^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 132460 + ... + 159140.

Almost surely, 2^3890089800 is an apocalyptic number.

3890089800 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 3890089800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780496545).

3890089800 is an abundant number, since it is smaller than the sum of its proper divisors (9670903290).

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

3890089800 is a wasteful number, since it uses less digits than its factorization.

3890089800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26715 (or 26691 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 3890089800 is about 62370.5844128464. The cubic root of 3890089800 is about 1572.7265157637.

The spelling of 3890089800 in words is "three billion, eight hundred ninety million, eighty-nine thousand, eight hundred".