3381632352 has 144 divisors (see below), whose sum is σ = 11198023200. Its totient is φ = 947920896.

The previous prime is 3381632329. The next prime is 3381632381. The reversal of 3381632352 is 2532361833.

3381632352 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 is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3381632352² = 22870874728186103808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91024 + ... + 122672.

It is an arithmetic number, because the mean of its divisors is an integer number (77764050).

Almost surely, 2^3381632352 is an apocalyptic number.

3381632352 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 3381632352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599011600).

3381632352 is an abundant number, since it is smaller than the sum of its proper divisors (7816390848).

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

3381632352 is a wasteful number, since it uses less digits than its factorization.

3381632352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31725 (or 31714 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 3381632352 is about 58151.8043744130. The cubic root of 3381632352 is about 1500.9819277384.

The spelling of 3381632352 in words is "three billion, three hundred eighty-one million, six hundred thirty-two thousand, three hundred fifty-two".