3135459792 has 80 divisors (see below), whose sum is σ = 8310593088. Its totient is φ = 1018321920.

The previous prime is 3135459791. The next prime is 3135459829. The reversal of 3135459792 is 2979545313.

3135459792 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3135459792² = 19662216214497366528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135459791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285442 + ... + 296222.

Almost surely, 2^3135459792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3135459792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155296544).

3135459792 is an abundant number, since it is smaller than the sum of its proper divisors (5175133296).

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

3135459792 is a wasteful number, since it uses less digits than its factorization.

3135459792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10948 (or 10942 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 48.

The square root of 3135459792 is about 55995.1765065528. The cubic root of 3135459792 is about 1463.6382321496.

The spelling of 3135459792 in words is "three billion, one hundred thirty-five million, four hundred fifty-nine thousand, seven hundred ninety-two".