3870523440 has 560 divisors, whose sum is σ = 16263840000. Its totient is φ = 836448768.

The previous prime is 3870523427. The next prime is 3870523441. The reversal of 3870523440 is 443250783.

It is a happy number.

3870523440 is a `hidden beast` number, since 387 + 0 + 5 + 234 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 = 3870523395 and 3870523404.

It is not an unprimeable number, because it can be changed into a prime (3870523441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7756311 + ... + 7756809.

Almost surely, 2^3870523440 is an apocalyptic number.

3870523440 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 3870523440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8131920000).

3870523440 is an abundant number, since it is smaller than the sum of its proper divisors (12393316560).

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

3870523440 is a wasteful number, since it uses less digits than its factorization.

3870523440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3870523440 is about 62213.5310041152. The cubic root of 3870523440 is about 1570.0852510269.

The spelling of 3870523440 in words is "three billion, eight hundred seventy million, five hundred twenty-three thousand, four hundred forty".