3199943040 has 512 divisors, whose sum is σ = 12279168000. Its totient is φ = 708083712.

The previous prime is 3199943029. The next prime is 3199943041. The reversal of 3199943040 is 403499913.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3199942983 and 3199943001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3199943041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28318024 + ... + 28318136.

It is an arithmetic number, because the mean of its divisors is an integer number (23982750).

Almost surely, 2^3199943040 is an apocalyptic number.

3199943040 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 3199943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6139584000).

3199943040 is an abundant number, since it is smaller than the sum of its proper divisors (9079224960).

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

3199943040 is a wasteful number, since it uses less digits than its factorization.

3199943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 3199943040 is about 56568.0390326552. The cubic root of 3199943040 is about 1473.6038559695.

The spelling of 3199943040 in words is "three billion, one hundred ninety-nine million, nine hundred forty-three thousand, forty".