3634414551104 has 112 divisors (see below), whose sum is σ = 7419581539776. Its totient is φ = 1765307596800.

The previous prime is 3634414551101. The next prime is 3634414551113. The reversal of 3634414551104 is 4011554144363.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (3634414551101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 848565347 + ... + 848569629.

It is an arithmetic number, because the mean of its divisors is an integer number (66246263748).

Almost surely, 2^{3634414551104} 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 3634414551104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709790769888).

3634414551104 is an abundant number, since it is smaller than the sum of its proper divisors (3785166988672).

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

3634414551104 is a wasteful number, since it uses less digits than its factorization.

3634414551104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5644 (or 5634 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

Adding to 3634414551104 its reverse (4011554144363), we get a palindrome (7645968695467).

The spelling of 3634414551104 in words is "three trillion, six hundred thirty-four billion, four hundred fourteen million, five hundred fifty-one thousand, one hundred four".