3601826148928 has 224 divisors, whose sum is σ = 8881326448640. Its totient is φ = 1414326251520.

The previous prime is 3601826148887. The next prime is 3601826148941. The reversal of 3601826148928 is 8298416281063.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549642100 + ... + 549648652.

Almost surely, 2^{3601826148928} is an apocalyptic number.

3601826148928 is a gapful number since it is divisible by the number (38) 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 3601826148928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440663224320).

3601826148928 is an abundant number, since it is smaller than the sum of its proper divisors (5279500299712).

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

3601826148928 is a wasteful number, since it uses less digits than its factorization.

3601826148928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8705 (or 8695 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 58.

The spelling of 3601826148928 in words is "three trillion, six hundred one billion, eight hundred twenty-six million, one hundred forty-eight thousand, nine hundred twenty-eight".