3785829324240 has 240 divisors, whose sum is σ = 12432390883200. Its totient is φ = 952858708992.

The previous prime is 3785829324223. The next prime is 3785829324257. The reversal of 3785829324240 is 424239285873.

It is an interprime number because it is at equal distance from previous prime (3785829324223) and next prime (3785829324257).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (57).

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 47 ways as a sum of consecutive naturals, for example, 23224941 + ... + 23387379.

It is an arithmetic number, because the mean of its divisors is an integer number (51801628680).

Almost surely, 2^{3785829324240} is an apocalyptic number.

3785829324240 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 3785829324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6216195441600).

3785829324240 is an abundant number, since it is smaller than the sum of its proper divisors (8646561558960).

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

3785829324240 is a wasteful number, since it uses less digits than its factorization.

3785829324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162762 (or 162737 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 3785829324240 in words is "three trillion, seven hundred eighty-five billion, eight hundred twenty-nine million, three hundred twenty-four thousand, two hundred forty".