3193920000 has 300 divisors, whose sum is σ = 11529036090. Its totient is φ = 850944000.

The previous prime is 3193919947. The next prime is 3193920013. The reversal of 3193920000 is 293913.

3193920000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 152176896 + 3041743104 = 12336^2 + 55152^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×3193920000² = 20402249932800000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2879446 + ... + 2880554.

Almost surely, 2^3193920000 is an apocalyptic number.

3193920000 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 3193920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5764518045).

3193920000 is an abundant number, since it is smaller than the sum of its proper divisors (8335116090).

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

3193920000 is an equidigital number, since it uses as much as digits as its factorization.

3193920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 3193920000 is about 56514.7768287198. The cubic root of 3193920000 is about 1472.6787197694.

The spelling of 3193920000 in words is "three billion, one hundred ninety-three million, nine hundred twenty thousand".