3645748725696 has 336 divisors, whose sum is σ = 13114727428608. Its totient is φ = 940674816000.

The previous prime is 3645748725629. The next prime is 3645748725719. The reversal of 3645748725696 is 6965278475463.

It is a happy number.

3645748725696 is a `hidden beast` number, since 3 + 6 + 4 + 5 + 7 + 487 + 2 + 56 + 96 = 666.

3645748725696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6424966 + ... + 6969338.

Almost surely, 2^{3645748725696} is an apocalyptic number.

3645748725696 is a gapful number since it is divisible by the number (36) 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 3645748725696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6557363714304).

3645748725696 is an abundant number, since it is smaller than the sum of its proper divisors (9468978702912).

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

3645748725696 is a wasteful number, since it uses less digits than its factorization.

3645748725696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544560 (or 544547 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 72.

The spelling of 3645748725696 in words is "three trillion, six hundred forty-five billion, seven hundred forty-eight million, seven hundred twenty-five thousand, six hundred ninety-six".