2934639290352 has 960 divisors, whose sum is σ = 10375985894400. Its totient is φ = 693338849280.

The previous prime is 2934639290327. The next prime is 2934639290357. The reversal of 2934639290352 is 2530929364392.

2934639290352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2934639290352² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2934639290292 and 2934639290301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2934639290357) 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, 4139124174 + ... + 4139124882.

It is an arithmetic number, because the mean of its divisors is an integer number (10808318640).

Almost surely, 2^{2934639290352} is an apocalyptic number.

2934639290352 is a gapful number since it is divisible by the number (22) 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 2934639290352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187992947200).

2934639290352 is an abundant number, since it is smaller than the sum of its proper divisors (7441346604048).

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

2934639290352 is a wasteful number, since it uses less digits than its factorization.

2934639290352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 57.

The spelling of 2934639290352 in words is "two trillion, nine hundred thirty-four billion, six hundred thirty-nine million, two hundred ninety thousand, three hundred fifty-two".