3673664403024 has 320 divisors, whose sum is σ = 11870491668480. Its totient is φ = 951105576960.

The previous prime is 3673664403011. The next prime is 3673664403043. The reversal of 3673664403024 is 4203044663763.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2286038029 + ... + 2286039635.

It is an arithmetic number, because the mean of its divisors is an integer number (37095286464).

Almost surely, 2^{3673664403024} 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 3673664403024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935245834240).

3673664403024 is an abundant number, since it is smaller than the sum of its proper divisors (8196827265456).

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

3673664403024 is a wasteful number, since it uses less digits than its factorization.

3673664403024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 48.

The spelling of 3673664403024 in words is "three trillion, six hundred seventy-three billion, six hundred sixty-four million, four hundred three thousand, twenty-four".