3875696640 has 416 divisors, whose sum is σ = 14185501440. Its totient is φ = 1003290624.

The previous prime is 3875696593. The next prime is 3875696641. The reversal of 3875696640 is 466965783.

3875696640 is a `hidden beast` number, since 38 + 7 + 569 + 6 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3875696641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23777199 + ... + 23777361.

Almost surely, 2^3875696640 is an apocalyptic number.

3875696640 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 3875696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7092750720).

3875696640 is an abundant number, since it is smaller than the sum of its proper divisors (10309804800).

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

3875696640 is a wasteful number, since it uses less digits than its factorization.

3875696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 3875696640 is about 62255.0932856100. The cubic root of 3875696640 is about 1570.7844457780.

The spelling of 3875696640 in words is "three billion, eight hundred seventy-five million, six hundred ninety-six thousand, six hundred forty".