3625050495744 has 720 divisors, whose sum is σ = 11282723020800. Its totient is φ = 1156882341888.

The previous prime is 3625050495719. The next prime is 3625050495749. The reversal of 3625050495744 is 4475940505263.

It is a happy number.

3625050495744 is a `hidden beast` number, since 3 + 6 + 2 + 5 + 0 + 504 + 95 + 7 + 44 = 666.

It is a super-2 number, since 2×3625050495744² (a number of 26 digits) contains 22 as substring.

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 (3625050495749) 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 79 ways as a sum of consecutive naturals, for example, 15167575177 + ... + 15167575415.

It is an arithmetic number, because the mean of its divisors is an integer number (15670448640).

Almost surely, 2^{3625050495744} 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 3625050495744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5641361510400).

3625050495744 is an abundant number, since it is smaller than the sum of its proper divisors (7657672525056).

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

3625050495744 is a wasteful number, since it uses less digits than its factorization.

3625050495744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 3625050495744 in words is "three trillion, six hundred twenty-five billion, fifty million, four hundred ninety-five thousand, seven hundred forty-four".