3142748160 has 336 divisors, whose sum is σ = 11332814220. Its totient is φ = 836075520.

The previous prime is 3142748149. The next prime is 3142748233. The reversal of 3142748160 is 618472413.

3142748160 is a `hidden beast` number, since 31 + 427 + 48 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2598552576 + 544195584 = 50976^2 + 23328^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7464750 + ... + 7465170.

Almost surely, 2^3142748160 is an apocalyptic number.

3142748160 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 3142748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5666407110).

3142748160 is an abundant number, since it is smaller than the sum of its proper divisors (8190066060).

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

3142748160 is an frugal number, since it uses more digits than its factorization.

3142748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3142748160 is about 56060.2190505888. The cubic root of 3142748160 is about 1464.7714289658.

The spelling of 3142748160 in words is "three billion, one hundred forty-two million, seven hundred forty-eight thousand, one hundred sixty".