3645374247000 has 256 divisors, whose sum is σ = 12945528086400. Its totient is φ = 948389760000.

The previous prime is 3645374246981. The next prime is 3645374247037. The reversal of 3645374247000 is 7424735463.

3645374247000 is a `hidden beast` number, since 3 + 6 + 4 + 537 + 42 + 4 + 70 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 539511 + ... + 2753510.

Almost surely, 2^{3645374247000} is an apocalyptic number.

3645374247000 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 3645374247000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472764043200).

3645374247000 is an abundant number, since it is smaller than the sum of its proper divisors (9300153839400).

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

3645374247000 is a wasteful number, since it uses less digits than its factorization.

3645374247000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293092 (or 3293072 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 3645374247000 in words is "three trillion, six hundred forty-five billion, three hundred seventy-four million, two hundred forty-seven thousand".