3061407960 has 240 divisors, whose sum is σ = 11144129040. Its totient is φ = 753442560.

The previous prime is 3061407953. The next prime is 3061407961. The reversal of 3061407960 is 697041603.

3061407960 is a `hidden beast` number, since 30 + 614 + 0 + 7 + 9 + 6 + 0 = 666.

3061407960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (3061407961) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 544765 + ... + 550355.

It is an arithmetic number, because the mean of its divisors is an integer number (46433871).

Almost surely, 2^3061407960 is an apocalyptic number.

3061407960 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 3061407960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572064520).

3061407960 is an abundant number, since it is smaller than the sum of its proper divisors (8082721080).

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

3061407960 is a wasteful number, since it uses less digits than its factorization.

3061407960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640 (or 5614 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3061407960 is about 55329.9915055117. The cubic root of 3061407960 is about 1452.0238026287.

The spelling of 3061407960 in words is "three billion, sixty-one million, four hundred seven thousand, nine hundred sixty".