3134370816 has 440 divisors, whose sum is σ = 10272075264. Its totient is φ = 948879360.

The previous prime is 3134370791. The next prime is 3134370817. The reversal of 3134370816 is 6180734313.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134370817) 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 39 ways as a sum of consecutive naturals, for example, 59139046 + ... + 59139098.

Almost surely, 2^3134370816 is an apocalyptic number.

3134370816 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 3134370816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136037632).

3134370816 is an abundant number, since it is smaller than the sum of its proper divisors (7137704448).

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

3134370816 is a wasteful number, since it uses less digits than its factorization.

3134370816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3134370816 is about 55985.4518245589. The cubic root of 3134370816 is about 1463.4687672151.

The spelling of 3134370816 in words is "three billion, one hundred thirty-four million, three hundred seventy thousand, eight hundred sixteen".