3193681920 has 384 divisors, whose sum is σ = 12020037120. Its totient is φ = 713687040.

The previous prime is 3193681903. The next prime is 3193681961. The reversal of 3193681920 is 291863913.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3193681920² = 20399208412269772800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4392597 + ... + 4393323.

It is an arithmetic number, because the mean of its divisors is an integer number (31302180).

Almost surely, 2^3193681920 is an apocalyptic number.

3193681920 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 3193681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010018560).

3193681920 is an abundant number, since it is smaller than the sum of its proper divisors (8826355200).

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

3193681920 is a wasteful number, since it uses less digits than its factorization.

3193681920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 3193681920 is about 56512.6704376992. The cubic root of 3193681920 is about 1472.6421269032.

The spelling of 3193681920 in words is "three billion, one hundred ninety-three million, six hundred eighty-one thousand, nine hundred twenty".