3634141680 has 640 divisors, whose sum is σ = 14939043840. Its totient is φ = 802897920.

The previous prime is 3634141669. The next prime is 3634141681. The reversal of 3634141680 is 861414363.

It is a happy number.

3634141680 is a `hidden beast` number, since 3 + 634 + 1 + 4 + 16 + 8 + 0 = 666.

3634141680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3634141681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10979115 + ... + 10979445.

It is an arithmetic number, because the mean of its divisors is an integer number (23342256).

Almost surely, 2^3634141680 is an apocalyptic number.

3634141680 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 3634141680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469521920).

3634141680 is an abundant number, since it is smaller than the sum of its proper divisors (11304902160).

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

3634141680 is a wasteful number, since it uses less digits than its factorization.

3634141680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3634141680 is about 60283.8426114328. The cubic root of 3634141680 is about 1537.4486455185.

The spelling of 3634141680 in words is "three billion, six hundred thirty-four million, one hundred forty-one thousand, six hundred eighty".