3642387518016 has 315 divisors, whose sum is σ = 11697355221321. Its totient is φ = 1120184971776.

The previous prime is 3642387517973. The next prime is 3642387518017. The reversal of 3642387518016 is 6108157832463.

The square root of 3642387518016 is 1908504.

It is a perfect power (a square), and thus also a powerful number.

3642387518016 is a `hidden beast` number, since 3 + 6 + 42 + 3 + 87 + 518 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 538814721600 + 3103572796416 = 734040^2 + 1761696^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3642387518017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1786358725 + ... + 1786360763.

Almost surely, 2^{3642387518016} is an apocalyptic number.

3642387518016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3642387518016 is the 1908504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642387518016

3642387518016 is an abundant number, since it is smaller than the sum of its proper divisors (8054967703305).

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

3642387518016 is an frugal number, since it uses more digits than its factorization.

3642387518016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3642387518016 in words is "three trillion, six hundred forty-two billion, three hundred eighty-seven million, five hundred eighteen thousand, sixteen".