3477623838744 has 256 divisors, whose sum is σ = 9678492794880. Its totient is φ = 1032518430720.

The previous prime is 3477623838727. The next prime is 3477623838751. The reversal of 3477623838744 is 4478383267743.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2091174057 + ... + 2091175719.

It is an arithmetic number, because the mean of its divisors is an integer number (37806612480).

Almost surely, 2^{3477623838744} 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 3477623838744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839246397440).

3477623838744 is an abundant number, since it is smaller than the sum of its proper divisors (6200868956136).

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

3477623838744 is a wasteful number, since it uses less digits than its factorization.

3477623838744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2546 counting only the distinct ones).

The product of its digits is 455196672, while the sum is 66.

The spelling of 3477623838744 in words is "three trillion, four hundred seventy-seven billion, six hundred twenty-three million, eight hundred thirty-eight thousand, seven hundred forty-four".