3464496741888 has 640 divisors, whose sum is σ = 12713169638400. Its totient is φ = 907094163456.

The previous prime is 3464496741887. The next prime is 3464496741913. The reversal of 3464496741888 is 8881476944643.

3464496741888 is a `hidden beast` number, since 3 + 4 + 6 + 44 + 96 + 7 + 418 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3464496741887) 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 63 ways as a sum of consecutive naturals, for example, 174849870 + ... + 174869682.

It is an arithmetic number, because the mean of its divisors is an integer number (19864327560).

Almost surely, 2^{3464496741888} 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 3464496741888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6356584819200).

3464496741888 is an abundant number, since it is smaller than the sum of its proper divisors (9248672896512).

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

3464496741888 is a wasteful number, since it uses less digits than its factorization.

3464496741888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19999 (or 19977 counting only the distinct ones).

The product of its digits is 891813888, while the sum is 72.

The spelling of 3464496741888 in words is "three trillion, four hundred sixty-four billion, four hundred ninety-six million, seven hundred forty-one thousand, eight hundred eighty-eight".