3135799296 has 384 divisors, whose sum is σ = 10905024000. Its totient is φ = 867041280.

The previous prime is 3135799267. The next prime is 3135799339. The reversal of 3135799296 is 6929975313.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101154801 + ... + 101154831.

It is an arithmetic number, because the mean of its divisors is an integer number (28398500).

Almost surely, 2^3135799296 is an apocalyptic number.

3135799296 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 3135799296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452512000).

3135799296 is an abundant number, since it is smaller than the sum of its proper divisors (7769224704).

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

3135799296 is an frugal number, since it uses more digits than its factorization.

3135799296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 43 counting only the distinct ones).

The product of its digits is 2755620, while the sum is 54.

The square root of 3135799296 is about 55998.2079713271. The cubic root of 3135799296 is about 1463.6910572676.

The spelling of 3135799296 in words is "three billion, one hundred thirty-five million, seven hundred ninety-nine thousand, two hundred ninety-six".