3362307840 has 288 divisors, whose sum is σ = 12008908800. Its totient is φ = 890818560.

The previous prime is 3362307827. The next prime is 3362307847. The reversal of 3362307840 is 487032633.

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

It is a super-2 number, since 2×3362307840² = 22610228021850931200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3362307795 and 3362307804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362307847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9365581 + ... + 9365939.

It is an arithmetic number, because the mean of its divisors is an integer number (41697600).

Almost surely, 2^3362307840 is an apocalyptic number.

3362307840 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 3362307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004454400).

3362307840 is an abundant number, since it is smaller than the sum of its proper divisors (8646600960).

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

3362307840 is a wasteful number, since it uses less digits than its factorization.

3362307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 640 counting only the distinct ones).

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

The square root of 3362307840 is about 57985.4105788689. The cubic root of 3362307840 is about 1498.1173179943.

The spelling of 3362307840 in words is "three billion, three hundred sixty-two million, three hundred seven thousand, eight hundred forty".