3121043940 has 288 divisors, whose sum is σ = 11792336640. Its totient is φ = 671182848.

The previous prime is 3121043917. The next prime is 3121043941. The reversal of 3121043940 is 493401213.

3121043940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (3121043941) 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, 1090992 + ... + 1093848.

Almost surely, 2^3121043940 is an apocalyptic number.

3121043940 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 3121043940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896168320).

3121043940 is an abundant number, since it is smaller than the sum of its proper divisors (8671292700).

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

3121043940 is a wasteful number, since it uses less digits than its factorization.

3121043940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3121043940 is about 55866.3041555462. The cubic root of 3121043940 is about 1461.3916704751.

The spelling of 3121043940 in words is "three billion, one hundred twenty-one million, forty-three thousand, nine hundred forty".