3013274880 has 864 divisors, whose sum is σ = 13468815360. Its totient is φ = 603832320.

The previous prime is 3013274851. The next prime is 3013274941. The reversal of 3013274880 is 884723103.

3013274880 is a `hidden beast` number, since 301 + 3 + 274 + 8 + 80 = 666.

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 95 ways as a sum of consecutive naturals, for example, 38142681 + ... + 38142759.

Almost surely, 2^3013274880 is an apocalyptic number.

3013274880 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 3013274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734407680).

3013274880 is an abundant number, since it is smaller than the sum of its proper divisors (10455540480).

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

3013274880 is a wasteful number, since it uses less digits than its factorization.

3013274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 150 counting only the distinct ones).

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

The square root of 3013274880 is about 54893.3045097487. The cubic root of 3013274880 is about 1444.3737391470.

Adding to 3013274880 its reverse (884723103), we get a palindrome (3897997983).

The spelling of 3013274880 in words is "three billion, thirteen million, two hundred seventy-four thousand, eight hundred eighty".