3438106560 has 420 divisors, whose sum is σ = 14231931912. Its totient is φ = 785562624.

The previous prime is 3438106519. The next prime is 3438106577. The reversal of 3438106560 is 656018343.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1268727 + ... + 1271433.

Almost surely, 2^3438106560 is an apocalyptic number.

3438106560 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 3438106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115965956).

3438106560 is an abundant number, since it is smaller than the sum of its proper divisors (10793825352).

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

3438106560 is a wasteful number, since it uses less digits than its factorization.

3438106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3438106560 is about 58635.3695306851. The cubic root of 3438106560 is about 1509.2914471708.

The spelling of 3438106560 in words is "three billion, four hundred thirty-eight million, one hundred six thousand, five hundred sixty".