3134414976 has 384 divisors, whose sum is σ = 10939622400. Its totient is φ = 776878080.

The previous prime is 3134414957. The next prime is 3134414977. The reversal of 3134414976 is 6794144313.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3134414977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7480495 + ... + 7480913.

It is an arithmetic number, because the mean of its divisors is an integer number (28488600).

Almost surely, 2^3134414976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134414976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5469811200).

3134414976 is an abundant number, since it is smaller than the sum of its proper divisors (7805207424).

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

3134414976 is a wasteful number, since it uses less digits than its factorization.

3134414976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 465 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 3134414976 is about 55985.8462113417. The cubic root of 3134414976 is about 1463.4756400966.

The spelling of 3134414976 in words is "three billion, one hundred thirty-four million, four hundred fourteen thousand, nine hundred seventy-six".