3655779004072 has 64 divisors (see below), whose sum is σ = 7644796588800. Its totient is φ = 1627310979840.

The previous prime is 3655779004049. The next prime is 3655779004081. The reversal of 3655779004072 is 2704009775563.

3655779004072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3655779004072² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2082303 + ... + 3412849.

It is an arithmetic number, because the mean of its divisors is an integer number (119449946700).

Almost surely, 2^{3655779004072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3655779004072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822398294400).

3655779004072 is an abundant number, since it is smaller than the sum of its proper divisors (3989017584728).

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

3655779004072 is a wasteful number, since it uses less digits than its factorization.

3655779004072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331506 (or 1331502 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 55.

The spelling of 3655779004072 in words is "three trillion, six hundred fifty-five billion, seven hundred seventy-nine million, four thousand, seventy-two".