3869245440 has 264 divisors, whose sum is σ = 13740536628. Its totient is φ = 1006632960.

The previous prime is 3869245421. The next prime is 3869245447. The reversal of 3869245440 is 445429683.

3869245440 is a `hidden beast` number, since 3 + 86 + 9 + 24 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3406823424 + 462422016 = 58368^2 + 21504^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2624 × 576 × 2560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3869245447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94371820 + ... + 94371860.

Almost surely, 2^3869245440 is an apocalyptic number.

3869245440 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 3869245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870268314).

3869245440 is an abundant number, since it is smaller than the sum of its proper divisors (9871291188).

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

3869245440 is an frugal number, since it uses more digits than its factorization.

3869245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3869245440 is about 62203.2590786046. The cubic root of 3869245440 is about 1569.9124242873.

The spelling of 3869245440 in words is "three billion, eight hundred sixty-nine million, two hundred forty-five thousand, four hundred forty".