3382587041 has 32 divisors (see below), whose sum is σ = 3654844416. Its totient is φ = 3125304000.

The previous prime is 3382587029. The next prime is 3382587049. The reversal of 3382587041 is 1407852833.

3382587041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3382587041 - 2¹⁴ = 3382570657 is a prime.

It is a super-2 number, since 2×3382587041² = 22883790179882271362, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3382587041.

It is not an unprimeable number, because it can be changed into a prime (3382587049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12481736 + ... + 12482006.

It is an arithmetic number, because the mean of its divisors is an integer number (114213888).

Almost surely, 2^3382587041 is an apocalyptic number.

3382587041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3382587041 is a deficient number, since it is larger than the sum of its proper divisors (272257375).

3382587041 is a wasteful number, since it uses less digits than its factorization.

3382587041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533.

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 3382587041 is about 58160.0123882380. The cubic root of 3382587041 is about 1501.1231648646.

The spelling of 3382587041 in words is "three billion, three hundred eighty-two million, five hundred eighty-seven thousand, forty-one".