3190896000 has 192 divisors, whose sum is σ = 11459822400. Its totient is φ = 850867200.

The previous prime is 3190895993. The next prime is 3190896011. The reversal of 3190896000 is 6980913.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132921 + ... + 155079.

It is an arithmetic number, because the mean of its divisors is an integer number (59686575).

Almost surely, 2^3190896000 is an apocalyptic number.

3190896000 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 3190896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5729911200).

3190896000 is an abundant number, since it is smaller than the sum of its proper divisors (8268926400).

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

3190896000 is a wasteful number, since it uses less digits than its factorization.

3190896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22194 (or 22169 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3190896000 is about 56488.0164282656. The cubic root of 3190896000 is about 1472.2137961360.

The spelling of 3190896000 in words is "three billion, one hundred ninety million, eight hundred ninety-six thousand".