3633041006976 has 128 divisors (see below), whose sum is σ = 10231439672160. Its totient is φ = 1138270371840.

The previous prime is 3633041006957. The next prime is 3633041006981. The reversal of 3633041006976 is 6796001403363.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4574106 + ... + 5309286.

Almost surely, 2^{3633041006976} 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 3633041006976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115719836080).

3633041006976 is an abundant number, since it is smaller than the sum of its proper divisors (6598398665184).

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

3633041006976 is a wasteful number, since it uses less digits than its factorization.

3633041006976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735972 (or 735960 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 48.

The spelling of 3633041006976 in words is "three trillion, six hundred thirty-three billion, forty-one million, six thousand, nine hundred seventy-six".