3189500400 has 120 divisors (see below), whose sum is σ = 10231421040. Its totient is φ = 849336320.

The previous prime is 3189500399. The next prime is 3189500429. The reversal of 3189500400 is 40059813.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1142206 + ... + 1144994.

It is an arithmetic number, because the mean of its divisors is an integer number (85261842).

Almost surely, 2^3189500400 is an apocalyptic number.

3189500400 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 3189500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115710520).

3189500400 is an abundant number, since it is smaller than the sum of its proper divisors (7041920640).

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

3189500400 is a wasteful number, since it uses less digits than its factorization.

3189500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 3189500400 is about 56475.6620147121. The cubic root of 3189500400 is about 1471.9991311235. Note that the first 3 decimals are identical.

The spelling of 3189500400 in words is "three billion, one hundred eighty-nine million, five hundred thousand, four hundred".