3669057699840 has 1792 divisors, whose sum is σ = 15162586538400. Its totient is φ = 843910742016.

The previous prime is 3669057699817. The next prime is 3669057699851. The reversal of 3669057699840 is 489967509663.

3669057699840 is a `hidden beast` number, since 3 + 6 + 6 + 9 + 0 + 576 + 9 + 9 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 26396098491 + ... + 26396098629.

Almost surely, 2^{3669057699840} is an apocalyptic number.

3669057699840 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 3669057699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7581293269200).

3669057699840 is an abundant number, since it is smaller than the sum of its proper divisors (11493528838560).

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

3669057699840 is an equidigital number, since it uses as much as digits as its factorization.

3669057699840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 3669057699840 in words is "three trillion, six hundred sixty-nine billion, fifty-seven million, six hundred ninety-nine thousand, eight hundred forty".