3362441040 has 240 divisors, whose sum is σ = 13322290176. Its totient is φ = 743731200.

The previous prime is 3362440993. The next prime is 3362441051. The reversal of 3362441040 is 401442633.

3362441040 is a `hidden beast` number, since 33 + 624 + 4 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3362441040² = 22612019494952563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3362440995 and 3362441013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145480 + ... + 167000.

Almost surely, 2^3362441040 is an apocalyptic number.

3362441040 is a gapful number since it is divisible by the number (30) 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 3362441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661145088).

3362441040 is an abundant number, since it is smaller than the sum of its proper divisors (9959849136).

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

3362441040 is a wasteful number, since it uses less digits than its factorization.

3362441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21578 (or 21569 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3362441040 is about 57986.5591322679. The cubic root of 3362441040 is about 1498.1371006952.

Adding to 3362441040 its reverse (401442633), we get a palindrome (3763883673).

The spelling of 3362441040 in words is "three billion, three hundred sixty-two million, four hundred forty-one thousand, forty".