3893771040 has 48 divisors (see below), whose sum is σ = 12265380288. Its totient is φ = 1038338816.

The previous prime is 3893771029. The next prime is 3893771041. The reversal of 3893771040 is 401773983.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3893771040² = 30322905823885363200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3893770983 and 3893771001.

It is not an unprimeable number, because it can be changed into a prime (3893771041) 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 7 ways as a sum of consecutive naturals, for example, 4055532 + ... + 4056491.

It is an arithmetic number, because the mean of its divisors is an integer number (255528756).

Almost surely, 2^3893771040 is an apocalyptic number.

3893771040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3893771040 is an abundant number, since it is smaller than the sum of its proper divisors (8371609248).

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

3893771040 is a wasteful number, since it uses less digits than its factorization.

3893771040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8112041 (or 8112033 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 3893771040 is about 62400.0884614758. The cubic root of 3893771040 is about 1573.2224561973. Note that the first 3 decimals are identical.

The spelling of 3893771040 in words is "three billion, eight hundred ninety-three million, seven hundred seventy-one thousand, forty".