3893675940 has 288 divisors, whose sum is σ = 15218945280. Its totient is φ = 808980480.

The previous prime is 3893675921. The next prime is 3893675941. The reversal of 3893675940 is 495763983.

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

It is not an unprimeable number, because it can be changed into a prime (3893675941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 453124 + ... + 461636.

It is an arithmetic number, because the mean of its divisors is an integer number (52843560).

Almost surely, 2^3893675940 is an apocalyptic number.

3893675940 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 3893675940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7609472640).

3893675940 is an abundant number, since it is smaller than the sum of its proper divisors (11325269340).

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

3893675940 is a wasteful number, since it uses less digits than its factorization.

3893675940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8560 (or 8541 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 3893675940 is about 62399.3264386724. The cubic root of 3893675940 is about 1573.2096481618.

The spelling of 3893675940 in words is "three billion, eight hundred ninety-three million, six hundred seventy-five thousand, nine hundred forty".