3654864352512 has 216 divisors, whose sum is σ = 11298996858240. Its totient is φ = 1132108922880.

The previous prime is 3654864352507. The next prime is 3654864352537. The reversal of 3654864352512 is 2152534684563.

3654864352512 is a `hidden beast` number, since 3 + 6 + 5 + 4 + 86 + 43 + 5 + 2 + 512 = 666.

It is a super-2 number, since 2×3654864352512² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2503687 + ... + 3684857.

It is an arithmetic number, because the mean of its divisors is an integer number (52310170640).

Almost surely, 2^{3654864352512} is an apocalyptic number.

3654864352512 is a gapful number since it is divisible by the number (32) 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 3654864352512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649498429120).

3654864352512 is an abundant number, since it is smaller than the sum of its proper divisors (7644132505728).

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

3654864352512 is a wasteful number, since it uses less digits than its factorization.

3654864352512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181289 (or 1181272 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 3654864352512 in words is "three trillion, six hundred fifty-four billion, eight hundred sixty-four million, three hundred fifty-two thousand, five hundred twelve".