3126485376 has 288 divisors, whose sum is σ = 10592061480. Its totient is φ = 882524160.

The previous prime is 3126485339. The next prime is 3126485413. The reversal of 3126485376 is 6735846213.

It is an interprime number because it is at equal distance from previous prime (3126485339) and next prime (3126485413).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3126485376² = 19549821612683722752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5475171 + ... + 5475741.

Almost surely, 2^3126485376 is an apocalyptic number.

3126485376 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 3126485376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5296030740).

3126485376 is an abundant number, since it is smaller than the sum of its proper divisors (7465576104).

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

3126485376 is a wasteful number, since it uses less digits than its factorization.

3126485376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 680 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3126485376 is about 55914.9834659727. The cubic root of 3126485376 is about 1462.2404732561.

The spelling of 3126485376 in words is "three billion, one hundred twenty-six million, four hundred eighty-five thousand, three hundred seventy-six".