3145776960 has 112 divisors (see below), whose sum is σ = 10054449792. Its totient is φ = 833280000.

The previous prime is 3145776877. The next prime is 3145776973. The reversal of 3145776960 is 696775413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134110 + ... + 155810.

Almost surely, 2^3145776960 is an apocalyptic number.

3145776960 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 3145776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027224896).

3145776960 is an abundant number, since it is smaller than the sum of its proper divisors (6908672832).

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

3145776960 is a wasteful number, since it uses less digits than its factorization.

3145776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21872 (or 21862 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 3145776960 is about 56087.2263532437. The cubic root of 3145776960 is about 1465.2418320468.

The spelling of 3145776960 in words is "three billion, one hundred forty-five million, seven hundred seventy-six thousand, nine hundred sixty".