3463496064 has 256 divisors, whose sum is σ = 11879001600. Its totient is φ = 972933120.

The previous prime is 3463496059. The next prime is 3463496077. The reversal of 3463496064 is 4606943643.

3463496064 is a `hidden beast` number, since 3 + 4 + 6 + 34 + 9 + 606 + 4 = 666.

It is a super-3 number, since 3×3463496064³ (a number of 30 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is a congruent number.

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, 1474539 + ... + 1476885.

It is an arithmetic number, because the mean of its divisors is an integer number (46402350).

Almost surely, 2^3463496064 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 3463496064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939500800).

3463496064 is an abundant number, since it is smaller than the sum of its proper divisors (8415505536).

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

3463496064 is a wasteful number, since it uses less digits than its factorization.

3463496064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The square root of 3463496064 is about 58851.4746119415. The cubic root of 3463496064 is about 1512.9975780110.

The spelling of 3463496064 in words is "three billion, four hundred sixty-three million, four hundred ninety-six thousand, sixty-four".