3882025440 has 120 divisors (see below), whose sum is σ = 13700360520. Its totient is φ = 1035203328.

The previous prime is 3882025417. The next prime is 3882025501. The reversal of 3882025440 is 445202883.

3882025440 is a `hidden beast` number, since 3 + 8 + 8 + 202 + 5 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3882025395 and 3882025404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136810 + ... + 162729.

It is an arithmetic number, because the mean of its divisors is an integer number (114169671).

Almost surely, 2^3882025440 is an apocalyptic number.

3882025440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3882025440 is an abundant number, since it is smaller than the sum of its proper divisors (9818335080).

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

3882025440 is a wasteful number, since it uses less digits than its factorization.

3882025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299566 (or 299549 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 3882025440 is about 62305.9021281291. The cubic root of 3882025440 is about 1571.6389824194.

The spelling of 3882025440 in words is "three billion, eight hundred eighty-two million, twenty-five thousand, four hundred forty".