3438196608 has 384 divisors, whose sum is σ = 11862616320. Its totient is φ = 864230400.

The previous prime is 3438196591. The next prime is 3438196609. The reversal of 3438196608 is 8066918343.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438196609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110909553 + ... + 110909583.

It is an arithmetic number, because the mean of its divisors is an integer number (30892230).

Almost surely, 2^3438196608 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 3438196608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5931308160).

3438196608 is an abundant number, since it is smaller than the sum of its proper divisors (8424419712).

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

3438196608 is an equidigital number, since it uses as much as digits as its factorization.

3438196608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 3438196608 is about 58636.1373898384. The cubic root of 3438196608 is about 1509.3046237538.

The spelling of 3438196608 in words is "three billion, four hundred thirty-eight million, one hundred ninety-six thousand, six hundred eight".