3001481406 has 160 divisors (see below), whose sum is σ = 8505699840. Its totient is φ = 768398400.

The previous prime is 3001481377. The next prime is 3001481407. The reversal of 3001481406 is 6041841003.

It is a super-3 number, since 3×3001481406³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3001481406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001481407) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 883960 + ... + 887348.

It is an arithmetic number, because the mean of its divisors is an integer number (53160624).

Almost surely, 2^3001481406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001481406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252849920).

3001481406 is an abundant number, since it is smaller than the sum of its proper divisors (5504218434).

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

3001481406 is a wasteful number, since it uses less digits than its factorization.

3001481406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3001481406 is about 54785.7774061845. Note that the first 3 decimals coincide. The cubic root of 3001481406 is about 1442.4869264835.

The spelling of 3001481406 in words is "three billion, one million, four hundred eighty-one thousand, four hundred six".