3623401436160 has 352 divisors, whose sum is σ = 12765595594752. Its totient is φ = 869868011520.

The previous prime is 3623401436153. The next prime is 3623401436173. The reversal of 3623401436160 is 616341043263.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17298777 + ... + 17506983.

It is an arithmetic number, because the mean of its divisors is an integer number (36265896576).

Almost surely, 2^{3623401436160} is an apocalyptic number.

3623401436160 is a gapful number since it is divisible by the number (30) 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 3623401436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6382797797376).

3623401436160 is an abundant number, since it is smaller than the sum of its proper divisors (9142194158592).

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

3623401436160 is a wasteful number, since it uses less digits than its factorization.

3623401436160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208349 (or 208331 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 3623401436160 in words is "three trillion, six hundred twenty-three billion, four hundred one million, four hundred thirty-six thousand, one hundred sixty".