3679043558400 has 1188 divisors, whose sum is σ = 15384727280208. Its totient is φ = 837561876480.

The previous prime is 3679043558381. The next prime is 3679043558423. The reversal of 3679043558400 is 48553409763.

3679043558400 is a `hidden beast` number, since 3 + 6 + 7 + 9 + 0 + 43 + 558 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3804594717 + ... + 3804595683.

Almost surely, 2^{3679043558400} is an apocalyptic number.

3679043558400 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 3679043558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7692363640104).

3679043558400 is an abundant number, since it is smaller than the sum of its proper divisors (11705683721808).

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

3679043558400 is a wasteful number, since it uses less digits than its factorization.

3679043558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 3679043558400 in words is "three trillion, six hundred seventy-nine billion, forty-three million, five hundred fifty-eight thousand, four hundred".