3646745706240 has 2592 divisors, whose sum is σ = 16431954739200. Its totient is φ = 745612148736.

The previous prime is 3646745706221. The next prime is 3646745706269. The reversal of 3646745706240 is 426075476463.

3646745706240 is a `hidden beast` number, since 3 + 6 + 4 + 6 + 7 + 4 + 5 + 7 + 0 + 624 + 0 = 666.

3646745706240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28714533057 + ... + 28714533183.

Almost surely, 2^{3646745706240} is an apocalyptic number.

3646745706240 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 3646745706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8215977369600).

3646745706240 is an abundant number, since it is smaller than the sum of its proper divisors (12785209032960).

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

3646745706240 is a wasteful number, since it uses less digits than its factorization.

3646745706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 3646745706240 in words is "three trillion, six hundred forty-six billion, seven hundred forty-five million, seven hundred six thousand, two hundred forty".