3399181632 has 448 divisors, whose sum is σ = 12699187200. Its totient is φ = 865935360.

The previous prime is 3399181631. The next prime is 3399181649. The reversal of 3399181632 is 2361819933.

3399181632 is a `hidden beast` number, since 3 + 3 + 9 + 9 + 1 + 8 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3399181631) 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, 7850088 + ... + 7850520.

It is an arithmetic number, because the mean of its divisors is an integer number (28346400).

Almost surely, 2^3399181632 is an apocalyptic number.

3399181632 is a gapful number since it is divisible by the number (32) 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 3399181632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349593600).

3399181632 is an abundant number, since it is smaller than the sum of its proper divisors (9300005568).

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

3399181632 is a wasteful number, since it uses less digits than its factorization.

3399181632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 515 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 3399181632 is about 58302.5010784272. The cubic root of 3399181632 is about 1503.5739418634.

The spelling of 3399181632 in words is "three billion, three hundred ninety-nine million, one hundred eighty-one thousand, six hundred thirty-two".