3825371214720 has 1280 divisors, whose sum is σ = 16040818411200. Its totient is φ = 858370867200.

The previous prime is 3825371214683. The next prime is 3825371214761. The reversal of 3825371214720 is 274121735283.

3825371214720 is a `hidden beast` number, since 3 + 8 + 2 + 53 + 7 + 121 + 472 + 0 = 666.

3825371214720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 591335646 + ... + 591342114.

Almost surely, 2^{3825371214720} is an apocalyptic number.

3825371214720 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 3825371214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8020409205600).

3825371214720 is an abundant number, since it is smaller than the sum of its proper divisors (12215447196480).

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

3825371214720 is a wasteful number, since it uses less digits than its factorization.

3825371214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6589 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 3825371214720 in words is "three trillion, eight hundred twenty-five billion, three hundred seventy-one million, two hundred fourteen thousand, seven hundred twenty".