3815000640 has 448 divisors, whose sum is σ = 14839614720. Its totient is φ = 914964480.

The previous prime is 3815000621. The next prime is 3815000641. The reversal of 3815000640 is 460005183.

3815000640 is a `hidden beast` number, since 3 + 8 + 15 + 0 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3815000641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13020334 + ... + 13020626.

It is an arithmetic number, because the mean of its divisors is an integer number (33124140).

Almost surely, 2^3815000640 is an apocalyptic number.

3815000640 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 3815000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7419807360).

3815000640 is an abundant number, since it is smaller than the sum of its proper divisors (11024614080).

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

3815000640 is a wasteful number, since it uses less digits than its factorization.

3815000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3815000640 is about 61765.6914475990. The cubic root of 3815000640 is about 1562.5414196167.

The spelling of 3815000640 in words is "three billion, eight hundred fifteen million, six hundred forty", and thus it is an aban number.