3134972272302 has 384 divisors, whose sum is σ = 7925419966464. Its totient is φ = 888056193024.

The previous prime is 3134972272213. The next prime is 3134972272307. The reversal of 3134972272302 is 2032722794313.

It is a happy number.

3134972272302 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 9 + 72 + 272 + 302 = 666.

It is a super-3 number, since 3×3134972272302³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134972272307) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8185306003 + ... + 8185306385.

It is an arithmetic number, because the mean of its divisors is an integer number (20639114496).

Almost surely, 2^{3134972272302} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134972272302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962709983232).

3134972272302 is an abundant number, since it is smaller than the sum of its proper divisors (4790447694162).

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

3134972272302 is a wasteful number, since it uses less digits than its factorization.

3134972272302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 3134972272302 in words is "three trillion, one hundred thirty-four billion, nine hundred seventy-two million, two hundred seventy-two thousand, three hundred two".