3134976000 has 416 divisors, whose sum is σ = 11305939008. Its totient is φ = 766771200.

The previous prime is 3134975971. The next prime is 3134976037. The reversal of 3134976000 is 6794313.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-3 number, since 3×3134976000³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19967922 + ... + 19968078.

It is an arithmetic number, because the mean of its divisors is an integer number (27177738).

Almost surely, 2^3134976000 is an apocalyptic number.

3134976000 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 3134976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652969504).

3134976000 is an abundant number, since it is smaller than the sum of its proper divisors (8170963008).

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

3134976000 is a wasteful number, since it uses less digits than its factorization.

3134976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 3134976000 is about 55990.8563963796. The cubic root of 3134976000 is about 1463.5629499543.

The spelling of 3134976000 in words is "three billion, one hundred thirty-four million, nine hundred seventy-six thousand".