3189957120 has 640 divisors, whose sum is σ = 13670553600. Its totient is φ = 688766976.

The previous prime is 3189957091. The next prime is 3189957131. The reversal of 3189957120 is 217599813.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 9192787 + ... + 9193133.

It is an arithmetic number, because the mean of its divisors is an integer number (21360240).

Almost surely, 2^3189957120 is an apocalyptic number.

3189957120 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 3189957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6835276800).

3189957120 is an abundant number, since it is smaller than the sum of its proper divisors (10480596480).

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

3189957120 is a wasteful number, since it uses less digits than its factorization.

3189957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 3189957120 is about 56479.7053816678. The cubic root of 3189957120 is about 1472.0693886635.

The spelling of 3189957120 in words is "three billion, one hundred eighty-nine million, nine hundred fifty-seven thousand, one hundred twenty".