3396032640 has 1536 divisors, whose sum is σ = 17108582400. Its totient is φ = 597196800.

The previous prime is 3396032599. The next prime is 3396032641. The reversal of 3396032640 is 462306933.

3396032640 is a `hidden beast` number, since 3 + 3 + 9 + 6 + 0 + 3 + 2 + 640 = 666.

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 = 3396032595 and 3396032604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3396032641) 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 191 ways as a sum of consecutive naturals, for example, 109549425 + ... + 109549455.

It is an arithmetic number, because the mean of its divisors is an integer number (11138400).

Almost surely, 2^3396032640 is an apocalyptic number.

3396032640 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 3396032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8554291200).

3396032640 is an abundant number, since it is smaller than the sum of its proper divisors (13712549760).

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

3396032640 is a wasteful number, since it uses less digits than its factorization.

3396032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 3396032640 is about 58275.4891871360. The cubic root of 3396032640 is about 1503.1094962346.

It can be divided in two parts, 339603 and 2640, that added together give a palindrome (342243).

The spelling of 3396032640 in words is "three billion, three hundred ninety-six million, thirty-two thousand, six hundred forty".