3733689600000 has 2304 divisors, whose sum is σ = 15478109337600. Its totient is φ = 884736000000.

The previous prime is 3733689599977. The next prime is 3733689600013. The reversal of 3733689600000 is 69863373.

It is a happy number.

3733689600000 is a `hidden beast` number, since 3 + 7 + 3 + 36 + 8 + 9 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 91065599980 + ... + 91065600020.

It is an arithmetic number, because the mean of its divisors is an integer number (6717929400).

Almost surely, 2^{3733689600000} is an apocalyptic number.

3733689600000 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 3733689600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7739054668800).

3733689600000 is an abundant number, since it is smaller than the sum of its proper divisors (11744419737600).

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

3733689600000 is an equidigital number, since it uses as much as digits as its factorization.

3733689600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 3733689600000 in words is "three trillion, seven hundred thirty-three billion, six hundred eighty-nine million, six hundred thousand".