3381743232 has 288 divisors, whose sum is σ = 11427998400. Its totient is φ = 957035520.

The previous prime is 3381743231. The next prime is 3381743251. The reversal of 3381743232 is 2323471833.

3381743232 is a `hidden beast` number, since 3 + 381 + 7 + 43 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3381743232² = 22872374574355611648, which contains 22 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (3381743231) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7846057 + ... + 7846487.

It is an arithmetic number, because the mean of its divisors is an integer number (39680550).

Almost surely, 2^3381743232 is an apocalyptic number.

3381743232 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 3381743232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713999200).

3381743232 is an abundant number, since it is smaller than the sum of its proper divisors (8046255168).

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

3381743232 is a wasteful number, since it uses less digits than its factorization.

3381743232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 582 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 3381743232 is about 58152.7577334042. The cubic root of 3381743232 is about 1500.9983327404.

The spelling of 3381743232 in words is "three billion, three hundred eighty-one million, seven hundred forty-three thousand, two hundred thirty-two".