3121433408 has 56 divisors (see below), whose sum is σ = 6472854720. Its totient is φ = 1490677760.

The previous prime is 3121433401. The next prime is 3121433417. The reversal of 3121433408 is 8043341213.

It is a happy number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121433401) 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, 1498928 + ... + 1501008.

Almost surely, 2^3121433408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121433408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236427360).

3121433408 is an abundant number, since it is smaller than the sum of its proper divisors (3351421312).

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

3121433408 is a wasteful number, since it uses less digits than its factorization.

3121433408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 3121433408 is about 55869.7897615518. The cubic root of 3121433408 is about 1461.4524558649.

The spelling of 3121433408 in words is "three billion, one hundred twenty-one million, four hundred thirty-three thousand, four hundred eight".