3651943760640 has 2880 divisors, whose sum is σ = 16370205401088. Its totient is φ = 759634329600.

The previous prime is 3651943760627. The next prime is 3651943760657. The reversal of 3651943760640 is 460673491563.

3651943760640 is a `hidden beast` number, since 3 + 6 + 519 + 4 + 3 + 7 + 60 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×3651943760640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 34130315467 + ... + 34130315573.

Almost surely, 2^{3651943760640} is an apocalyptic number.

3651943760640 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 3651943760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8185102700544).

3651943760640 is an abundant number, since it is smaller than the sum of its proper divisors (12718261640448).

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

3651943760640 is a wasteful number, since it uses less digits than its factorization.

3651943760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 3651943760640 in words is "three trillion, six hundred fifty-one billion, nine hundred forty-three million, seven hundred sixty thousand, six hundred forty".