3827574249840 has 1440 divisors, whose sum is σ = 15016638873600. Its totient is φ = 871782912000.

The previous prime is 3827574249773. The next prime is 3827574249881. The reversal of 3827574249840 is 489424757283.

It is a happy number.

3827574249840 is a `hidden beast` number, since 3 + 8 + 2 + 75 + 74 + 2 + 498 + 4 + 0 = 666.

3827574249840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25348173765 + ... + 25348173915.

It is an arithmetic number, because the mean of its divisors is an integer number (10428221440).

Almost surely, 2^{3827574249840} is an apocalyptic number.

3827574249840 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 3827574249840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7508319436800).

3827574249840 is an abundant number, since it is smaller than the sum of its proper divisors (11189064623760).

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

3827574249840 is a wasteful number, since it uses less digits than its factorization.

3827574249840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 3827574249840 in words is "three trillion, eight hundred twenty-seven billion, five hundred seventy-four million, two hundred forty-nine thousand, eight hundred forty".