3634849161216 has 896 divisors, whose sum is σ = 13316941209600. Its totient is φ = 954134691840.

The previous prime is 3634849161211. The next prime is 3634849161233. The reversal of 3634849161216 is 6121619484363.

It is a happy number.

3634849161216 is a `hidden beast` number, since 3 + 6 + 3 + 4 + 8 + 4 + 9 + 1 + 612 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

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

It is not an unprimeable number, because it can be changed into a prime (3634849161211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8433524521 + ... + 8433524951.

It is an arithmetic number, because the mean of its divisors is an integer number (14862657600).

Almost surely, 2^{3634849161216} is an apocalyptic number.

3634849161216 is a gapful number since it is divisible by the number (36) 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 3634849161216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658470604800).

3634849161216 is an abundant number, since it is smaller than the sum of its proper divisors (9682092048384).

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

3634849161216 is a wasteful number, since it uses less digits than its factorization.

3634849161216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 875 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 3634849161216 in words is "three trillion, six hundred thirty-four billion, eight hundred forty-nine million, one hundred sixty-one thousand, two hundred sixteen".