3900189888 has 336 divisors, whose sum is σ = 13736320000. Its totient is φ = 1054674432.

The previous prime is 3900189883. The next prime is 3900189893. The reversal of 3900189888 is 8889810093.

It is an interprime number because it is at equal distance from previous prime (3900189883) and next prime (3900189893).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3900189888² = 30422962324914905088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3900189883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3753273 + ... + 3754311.

Almost surely, 2^3900189888 is an apocalyptic number.

3900189888 is a gapful number since it is divisible by the number (38) 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 3900189888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868160000).

3900189888 is an abundant number, since it is smaller than the sum of its proper divisors (9836130112).

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

3900189888 is a wasteful number, since it uses less digits than its factorization.

3900189888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The square root of 3900189888 is about 62451.5002862221. The cubic root of 3900189888 is about 1574.0864628219.

The spelling of 3900189888 in words is "three billion, nine hundred million, one hundred eighty-nine thousand, eight hundred eighty-eight".