3641262341600 has 576 divisors, whose sum is σ = 10487450635200. Its totient is φ = 1222342410240.

The previous prime is 3641262341569. The next prime is 3641262341617. The reversal of 3641262341600 is 61432621463.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 991357364 + ... + 991361036.

It is an arithmetic number, because the mean of its divisors is an integer number (18207379575).

Almost surely, 2^{3641262341600} 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 3641262341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243725317600).

3641262341600 is an abundant number, since it is smaller than the sum of its proper divisors (6846188293600).

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

3641262341600 is a wasteful number, since it uses less digits than its factorization.

3641262341600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 3641262341600 in words is "three trillion, six hundred forty-one billion, two hundred sixty-two million, three hundred forty-one thousand, six hundred".