3149256000 has 448 divisors, whose sum is σ = 11563868160. Its totient is φ = 748800000.

The previous prime is 3149255971. The next prime is 3149256017. The reversal of 3149256000 is 6529413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20855925 + ... + 20856075.

Almost surely, 2^3149256000 is an apocalyptic number.

3149256000 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 3149256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781934080).

3149256000 is an abundant number, since it is smaller than the sum of its proper divisors (8414612160).

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

3149256000 is a wasteful number, since it uses less digits than its factorization.

3149256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 3149256000 is about 56118.2323313912. The cubic root of 3149256000 is about 1465.7817894708.

It can be divided in two parts, 3 and 149256000, that added together give a triangular number (149256003 = T₁₇₂₇₇).

The spelling of 3149256000 in words is "three billion, one hundred forty-nine million, two hundred fifty-six thousand".