3397540608 has 324 divisors, whose sum is σ = 12312720784. Its totient is φ = 881971200.

The previous prime is 3397540591. The next prime is 3397540609. The reversal of 3397540608 is 8060457933.

3397540608 is a `hidden beast` number, since 3 + 39 + 7 + 5 + 4 + 0 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (3397540609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1950618 + ... + 1952358.

Almost surely, 2^3397540608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3397540608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156360392).

3397540608 is an abundant number, since it is smaller than the sum of its proper divisors (8915180176).

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

3397540608 is a wasteful number, since it uses less digits than its factorization.

3397540608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3397540608 is about 58288.4260209520. The cubic root of 3397540608 is about 1503.3319426255.

The spelling of 3397540608 in words is "three billion, three hundred ninety-seven million, five hundred forty thousand, six hundred eight".