3413746177644 has 192 divisors, whose sum is σ = 9033825024000. Its totient is φ = 993846067200.

The previous prime is 3413746177627. The next prime is 3413746177651. The reversal of 3413746177644 is 4467716473143.

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, 1088218444 + ... + 1088221580.

It is an arithmetic number, because the mean of its divisors is an integer number (47051172000).

Almost surely, 2^{3413746177644} 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 3413746177644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516912512000).

3413746177644 is an abundant number, since it is smaller than the sum of its proper divisors (5620078846356).

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

3413746177644 is a wasteful number, since it uses less digits than its factorization.

3413746177644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4504 (or 4502 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 57.

The spelling of 3413746177644 in words is "three trillion, four hundred thirteen billion, seven hundred forty-six million, one hundred seventy-seven thousand, six hundred forty-four".