3121003004 has 96 divisors (see below), whose sum is σ = 7076160000. Its totient is φ = 1172219904.

The previous prime is 3121002979. The next prime is 3121003007. The reversal of 3121003004 is 4003001213.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 3121003004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121003007) 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, 530672 + ... + 536520.

It is an arithmetic number, because the mean of its divisors is an integer number (73710000).

Almost surely, 2^3121003004 is an apocalyptic number.

3121003004 is a gapful number since it is divisible by the number (34) 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 3121003004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080000).

3121003004 is an abundant number, since it is smaller than the sum of its proper divisors (3955156996).

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

3121003004 is a wasteful number, since it uses less digits than its factorization.

3121003004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5955 (or 5953 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3121003004 is about 55865.9377796525. The cubic root of 3121003004 is about 1461.3852811823.

Adding to 3121003004 its reverse (4003001213), we get a palindrome (7124004217).

The spelling of 3121003004 in words is "three billion, one hundred twenty-one million, three thousand, four".