3146139360 has 768 divisors, whose sum is σ = 13899755520. Its totient is φ = 646963200.

The previous prime is 3146139349. The next prime is 3146139383. The reversal of 3146139360 is 639316413.

3146139360 is a `hidden beast` number, since 3 + 1 + 4 + 613 + 9 + 36 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20835285 + ... + 20835435.

It is an arithmetic number, because the mean of its divisors is an integer number (18098640).

Almost surely, 2^3146139360 is an apocalyptic number.

3146139360 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 3146139360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949877760).

3146139360 is an abundant number, since it is smaller than the sum of its proper divisors (10753616160).

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

3146139360 is a wasteful number, since it uses less digits than its factorization.

3146139360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3146139360 is about 56090.4569423356. The cubic root of 3146139360 is about 1465.2980961810.

The spelling of 3146139360 in words is "three billion, one hundred forty-six million, one hundred thirty-nine thousand, three hundred sixty".