3640903354368 has 1152 divisors, whose sum is σ = 12848084121600. Its totient is φ = 1008737058816.

The previous prime is 3640903354321. The next prime is 3640903354381. The reversal of 3640903354368 is 8634533090463.

It is a happy number.

3640903354368 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 9 + 0 + 33 + 543 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 26193549243 + ... + 26193549381.

It is an arithmetic number, because the mean of its divisors is an integer number (11152850800).

Almost surely, 2^{3640903354368} 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 3640903354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6424042060800).

3640903354368 is an abundant number, since it is smaller than the sum of its proper divisors (9207180767232).

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

3640903354368 is a wasteful number, since it uses less digits than its factorization.

3640903354368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 3640903354368 in words is "three trillion, six hundred forty billion, nine hundred three million, three hundred fifty-four thousand, three hundred sixty-eight".