3146912496 has 480 divisors, whose sum is σ = 11509680000. Its totient is φ = 801335808.

The previous prime is 3146912459. The next prime is 3146912497. The reversal of 3146912496 is 6942196413.

3146912496 is a `hidden beast` number, since 3 + 146 + 9 + 12 + 496 = 666.

It is a super-3 number, since 3×3146912496³ (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (279936) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3146912497) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108514210 + ... + 108514238.

It is an arithmetic number, because the mean of its divisors is an integer number (23978500).

Almost surely, 2^3146912496 is an apocalyptic number.

3146912496 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 3146912496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754840000).

3146912496 is an abundant number, since it is smaller than the sum of its proper divisors (8362767504).

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

3146912496 is a wasteful number, since it uses less digits than its factorization.

3146912496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 54 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 3146912496 is about 56097.3483865325. The cubic root of 3146912496 is about 1465.4181143783.

The spelling of 3146912496 in words is "three billion, one hundred forty-six million, nine hundred twelve thousand, four hundred ninety-six".