3012471000 has 1152 divisors, whose sum is σ = 13982492160. Its totient is φ = 598752000.

The previous prime is 3012470987. The next prime is 3012471037. The reversal of 3012471000 is 1742103.

3012471000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3012471000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 130976989 + ... + 130977011.

It is an arithmetic number, because the mean of its divisors is an integer number (12137580).

Almost surely, 2^3012471000 is an apocalyptic number.

3012471000 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 3012471000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6991246080).

3012471000 is an abundant number, since it is smaller than the sum of its proper divisors (10970021160).

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

3012471000 is a wasteful number, since it uses less digits than its factorization.

3012471000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 3012471000 is about 54885.9818168537. The cubic root of 3012471000 is about 1444.2452846165.

It can be divided in two parts, 30124 and 71000, that added together give a square (101124 = 318²).

The spelling of 3012471000 in words is "three billion, twelve million, four hundred seventy-one thousand".