3827625340 has 96 divisors (see below), whose sum is σ = 10034325504. Its totient is φ = 1191490560.

The previous prime is 3827625337. The next prime is 3827625353. The reversal of 3827625340 is 435267283.

It is a junction number, because it is equal to n+sod(n) for n = 3827625293 and 3827625302.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2042644 + ... + 2044516.

It is an arithmetic number, because the mean of its divisors is an integer number (104524224).

Almost surely, 2^3827625340 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 3827625340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017162752).

3827625340 is an abundant number, since it is smaller than the sum of its proper divisors (6206700164).

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

3827625340 is a wasteful number, since it uses less digits than its factorization.

3827625340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 3827625340 is about 61867.8053594921. The cubic root of 3827625340 is about 1564.2631228343.

The spelling of 3827625340 in words is "three billion, eight hundred twenty-seven million, six hundred twenty-five thousand, three hundred forty".