3145336920 has 480 divisors, whose sum is σ = 11888220960. Its totient is φ = 745113600.

The previous prime is 3145336913. The next prime is 3145336921. The reversal of 3145336920 is 296335413.

It is a happy number.

3145336920 is a `hidden beast` number, since 31 + 4 + 533 + 6 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145336921) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27834784 + ... + 27834896.

It is an arithmetic number, because the mean of its divisors is an integer number (24767127).

Almost surely, 2^3145336920 is an apocalyptic number.

3145336920 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 3145336920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5944110480).

3145336920 is an abundant number, since it is smaller than the sum of its proper divisors (8742884040).

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

3145336920 is a wasteful number, since it uses less digits than its factorization.

3145336920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3145336920 is about 56083.3033977137. The cubic root of 3145336920 is about 1465.1735081648.

The spelling of 3145336920 in words is "three billion, one hundred forty-five million, three hundred thirty-six thousand, nine hundred twenty".