3134259216 has 360 divisors, whose sum is σ = 10372639680. Its totient is φ = 874944000.

The previous prime is 3134259157. The next prime is 3134259257. The reversal of 3134259216 is 6129524313.

3134259216 is a `hidden beast` number, since 3 + 13 + 42 + 592 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44144461 + ... + 44144531.

It is an arithmetic number, because the mean of its divisors is an integer number (28812888).

Almost surely, 2^3134259216 is an apocalyptic number.

3134259216 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 3134259216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186319840).

3134259216 is an abundant number, since it is smaller than the sum of its proper divisors (7238380464).

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

3134259216 is a wasteful number, since it uses less digits than its factorization.

3134259216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 147 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3134259216 is about 55984.4551281871. The cubic root of 3134259216 is about 1463.4513979606.

The spelling of 3134259216 in words is "three billion, one hundred thirty-four million, two hundred fifty-nine thousand, two hundred sixteen".