3775612538880 has 2184 divisors, whose sum is σ = 17060600039112. Its totient is φ = 794606174208.

The previous prime is 3775612538849. The next prime is 3775612538891. The reversal of 3775612538880 is 888352165773.

3775612538880 is a `hidden beast` number, since 3 + 7 + 7 + 5 + 6 + 12 + 538 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 169138077696 + 3606474461184 = 411264^2 + 1899072^2 .

It is a tau number, because it is divible by the number of its divisors (2184).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9510358842 + ... + 9510359238.

Almost surely, 2^{3775612538880} is an apocalyptic number.

3775612538880 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 3775612538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530300019556).

3775612538880 is an abundant number, since it is smaller than the sum of its proper divisors (13284987500232).

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

3775612538880 is an equidigital number, since it uses as much as digits as its factorization.

3775612538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 3775612538880 in words is "three trillion, seven hundred seventy-five billion, six hundred twelve million, five hundred thirty-eight thousand, eight hundred eighty".