3646026004480 has 576 divisors, whose sum is σ = 9591345691200. Its totient is φ = 1327457894400.

The previous prime is 3646026004459. The next prime is 3646026004499. The reversal of 3646026004480 is 844006206463.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20143789990 + ... + 20143790170.

It is an arithmetic number, because the mean of its divisors is an integer number (16651641825).

Almost surely, 2^{3646026004480} 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 3646026004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4795672845600).

3646026004480 is an abundant number, since it is smaller than the sum of its proper divisors (5945319686720).

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

3646026004480 is a wasteful number, since it uses less digits than its factorization.

3646026004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 43.

The spelling of 3646026004480 in words is "three trillion, six hundred forty-six billion, twenty-six million, four thousand, four hundred eighty".