3634968489984 has 416 divisors, whose sum is σ = 11971598643200. Its totient is φ = 1082359480320.

The previous prime is 3634968489941. The next prime is 3634968489991. The reversal of 3634968489984 is 4899848694363.

3634968489984 is a `hidden beast` number, since 3 + 6 + 3 + 49 + 6 + 8 + 489 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×3634968489984² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44527797 + ... + 44609355.

Almost surely, 2^{3634968489984} 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 3634968489984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985799321600).

3634968489984 is an abundant number, since it is smaller than the sum of its proper divisors (8336630153216).

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

3634968489984 is a wasteful number, since it uses less digits than its factorization.

3634968489984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81636 (or 81608 counting only the distinct ones).

The product of its digits is 7739670528, while the sum is 81.

The spelling of 3634968489984 in words is "three trillion, six hundred thirty-four billion, nine hundred sixty-eight million, four hundred eighty-nine thousand, nine hundred eighty-four".