3446540064 has 192 divisors, whose sum is σ = 11443783680. Its totient is φ = 998933760.

The previous prime is 3446540023. The next prime is 3446540107. The reversal of 3446540064 is 4600456443.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210709 + ... + 226475.

It is an arithmetic number, because the mean of its divisors is an integer number (59603040).

Almost surely, 2^3446540064 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 3446540064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721891840).

3446540064 is an abundant number, since it is smaller than the sum of its proper divisors (7997243616).

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

3446540064 is a wasteful number, since it uses less digits than its factorization.

3446540064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15820 (or 15806 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 3446540064 is about 58707.2403030495. The cubic root of 3446540064 is about 1510.5245117313.

It can be divided in two parts, 34465 and 40064, that added together give a square (74529 = 273²).

The spelling of 3446540064 in words is "three billion, four hundred forty-six million, five hundred forty thousand, sixty-four".