3623645143140 has 192 divisors, whose sum is σ = 11554100990208. Its totient is φ = 840705177600.

The previous prime is 3623645143123. The next prime is 3623645143147. The reversal of 3623645143140 is 413415463263.

It is a super-2 number, since 2×3623645143140² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3623645143092 and 3623645143101.

It is not an unprimeable number, because it can be changed into a prime (3623645143147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273322 + ... + 2705918.

It is an arithmetic number, because the mean of its divisors is an integer number (60177609324).

Almost surely, 2^{3623645143140} is an apocalyptic number.

3623645143140 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 3623645143140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5777050495104).

3623645143140 is an abundant number, since it is smaller than the sum of its proper divisors (7930455847068).

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

3623645143140 is a wasteful number, since it uses less digits than its factorization.

3623645143140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432718 (or 2432716 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 3623645143140 in words is "three trillion, six hundred twenty-three billion, six hundred forty-five million, one hundred forty-three thousand, one hundred forty".