3639785761920 has 1536 divisors, whose sum is σ = 15919829683200. Its totient is φ = 697008291840.

The previous prime is 3639785761903. The next prime is 3639785761949. The reversal of 3639785761920 is 291675879363.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 727518139 + ... + 727523141.

It is an arithmetic number, because the mean of its divisors is an integer number (10364472450).

Almost surely, 2^{3639785761920} is an apocalyptic number.

3639785761920 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 3639785761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7959914841600).

3639785761920 is an abundant number, since it is smaller than the sum of its proper divisors (12280043921280).

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

3639785761920 is a wasteful number, since it uses less digits than its factorization.

3639785761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5106 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 66.

The spelling of 3639785761920 in words is "three trillion, six hundred thirty-nine billion, seven hundred eighty-five million, seven hundred sixty-one thousand, nine hundred twenty".