3676403640000 has 560 divisors, whose sum is σ = 14960103834368. Its totient is φ = 775678464000.

The previous prime is 3676403639933. The next prime is 3676403640001. The reversal of 3676403640000 is 463046763.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3676403640001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10751667 + ... + 11088333.

Almost surely, 2^{3676403640000} is an apocalyptic number.

3676403640000 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 3676403640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480051917184).

3676403640000 is an abundant number, since it is smaller than the sum of its proper divisors (11283700194368).

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

3676403640000 is a wasteful number, since it uses less digits than its factorization.

3676403640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336722 (or 336697 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

Adding to 3676403640000 its reverse (463046763), we get a palindrome (3676866686763).

The spelling of 3676403640000 in words is "three trillion, six hundred seventy-six billion, four hundred three million, six hundred forty thousand".