3646105602720 has 1152 divisors, whose sum is σ = 14777822932992. Its totient is φ = 737538048000.

The previous prime is 3646105602707. The next prime is 3646105602743. The reversal of 3646105602720 is 272065016463.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3113667735 + ... + 3113668905.

It is an arithmetic number, because the mean of its divisors is an integer number (12827971296).

Almost surely, 2^{3646105602720} is an apocalyptic number.

3646105602720 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 3646105602720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388911466496).

3646105602720 is an abundant number, since it is smaller than the sum of its proper divisors (11131717330272).

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

3646105602720 is a wasteful number, since it uses less digits than its factorization.

3646105602720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 3646105602720 in words is "three trillion, six hundred forty-six billion, one hundred five million, six hundred two thousand, seven hundred twenty".