3623030146944 has 192 divisors, whose sum is σ = 11589802224000. Its totient is φ = 1078817771520.

The previous prime is 3623030146927. The next prime is 3623030146963. The reversal of 3623030146944 is 4496410303263.

3623030146944 is a `hidden beast` number, since 3 + 623 + 0 + 3 + 0 + 14 + 6 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 3623030146944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3437719 + ... + 4366230.

It is an arithmetic number, because the mean of its divisors is an integer number (60363553250).

Almost surely, 2^{3623030146944} is an apocalyptic number.

It is an amenable number.

3623030146944 is an abundant number, since it is smaller than the sum of its proper divisors (7966772077056).

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

3623030146944 is a wasteful number, since it uses less digits than its factorization.

3623030146944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7804013 (or 7803998 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 3623030146944 in words is "three trillion, six hundred twenty-three billion, thirty million, one hundred forty-six thousand, nine hundred forty-four".