3406547632464 has 160 divisors (see below), whose sum is σ = 10303311974400. Its totient is φ = 1074641489280.

The previous prime is 3406547632451. The next prime is 3406547632583. The reversal of 3406547632464 is 4642367456043.

3406547632464 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 547 + 6 + 32 + 4 + 64 = 666.

It is a super-2 number, since 2×3406547632464² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3406547632464.

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 31 ways as a sum of consecutive naturals, for example, 7756257 + ... + 8183679.

It is an arithmetic number, because the mean of its divisors is an integer number (64395699840).

Almost surely, 2^{3406547632464} 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 3406547632464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151655987200).

3406547632464 is an abundant number, since it is smaller than the sum of its proper divisors (6896764341936).

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

3406547632464 is a wasteful number, since it uses less digits than its factorization.

3406547632464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428430 (or 428418 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 54.

The spelling of 3406547632464 in words is "three trillion, four hundred six billion, five hundred forty-seven million, six hundred thirty-two thousand, four hundred sixty-four".