3438657618480 has 960 divisors, whose sum is σ = 14055740375040. Its totient is φ = 735913672704.

The previous prime is 3438657618437. The next prime is 3438657618481. The reversal of 3438657618480 is 848167568343.

3438657618480 is a `hidden beast` number, since 3 + 4 + 3 + 8 + 6 + 5 + 7 + 618 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3438657618481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5265937834 + ... + 5265938486.

It is an arithmetic number, because the mean of its divisors is an integer number (14641396224).

Almost surely, 2^{3438657618480} is an apocalyptic number.

3438657618480 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 3438657618480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7027870187520).

3438657618480 is an abundant number, since it is smaller than the sum of its proper divisors (10617082756560).

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

3438657618480 is a wasteful number, since it uses less digits than its factorization.

3438657618480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 3438657618480 in words is "three trillion, four hundred thirty-eight billion, six hundred fifty-seven million, six hundred eighteen thousand, four hundred eighty".