3677661133824 has 352 divisors, whose sum is σ = 10571383870272. Its totient is φ = 1132462080000.

The previous prime is 3677661133801. The next prime is 3677661133849. The reversal of 3677661133824 is 4283311667763.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2042009724 + ... + 2042011524.

Almost surely, 2^{3677661133824} is an apocalyptic number.

3677661133824 is a gapful number since it is divisible by the number (34) 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 3677661133824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285691935136).

3677661133824 is an abundant number, since it is smaller than the sum of its proper divisors (6893722736448).

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

3677661133824 is a wasteful number, since it uses less digits than its factorization.

3677661133824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2525 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 57.

The spelling of 3677661133824 in words is "three trillion, six hundred seventy-seven billion, six hundred sixty-one million, one hundred thirty-three thousand, eight hundred twenty-four".