3134750976 has 288 divisors, whose sum is σ = 10763540480. Its totient is φ = 881362944.

The previous prime is 3134750951. The next prime is 3134750987. The reversal of 3134750976 is 6790574313.

3134750976 is a `hidden beast` number, since 3 + 134 + 7 + 509 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×3134750976³ (a number of 29 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3241245 + ... + 3242211.

Almost surely, 2^3134750976 is an apocalyptic number.

3134750976 is a gapful number since it is divisible by the number (36) 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 3134750976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381770240).

3134750976 is an abundant number, since it is smaller than the sum of its proper divisors (7628789504).

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

3134750976 is an equidigital number, since it uses as much as digits as its factorization.

3134750976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 3134750976 is about 55988.8468893582. The cubic root of 3134750976 is about 1463.5279316458.

The spelling of 3134750976 in words is "three billion, one hundred thirty-four million, seven hundred fifty thousand, nine hundred seventy-six".