3476627097944 has 768 divisors, whose sum is σ = 9734639616000. Its totient is φ = 1126888588800.

The previous prime is 3476627097929. The next prime is 3476627097949. The reversal of 3476627097944 is 4497907266743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3476627097949) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58925882987 + ... + 58925883045.

It is an arithmetic number, because the mean of its divisors is an integer number (12675312000).

Almost surely, 2^{3476627097944} 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 3476627097944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867319808000).

3476627097944 is an abundant number, since it is smaller than the sum of its proper divisors (6258012518056).

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

3476627097944 is a wasteful number, since it uses less digits than its factorization.

3476627097944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 68.

The spelling of 3476627097944 in words is "three trillion, four hundred seventy-six billion, six hundred twenty-seven million, ninety-seven thousand, nine hundred forty-four".