3212199936 has 192 divisors, whose sum is σ = 10382299200. Its totient is φ = 973209600.

The previous prime is 3212199923. The next prime is 3212199959. The reversal of 3212199936 is 6399912123.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3212199891 and 3212199900.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605616 + ... + 610896.

It is an arithmetic number, because the mean of its divisors is an integer number (54074475).

Almost surely, 2^3212199936 is an apocalyptic number.

3212199936 is a gapful number since it is divisible by the number (36) 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 3212199936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5191149600).

3212199936 is an abundant number, since it is smaller than the sum of its proper divisors (7170099264).

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

3212199936 is a wasteful number, since it uses less digits than its factorization.

3212199936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5323 (or 5297 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 3212199936 is about 56676.2731308261. The cubic root of 3212199936 is about 1475.4829307868.

The spelling of 3212199936 in words is "three billion, two hundred twelve million, one hundred ninety-nine thousand, nine hundred thirty-six".