3126963840 has 512 divisors, whose sum is σ = 13390755840. Its totient is φ = 599408640.

The previous prime is 3126963839. The next prime is 3126963841. The reversal of 3126963840 is 483696213.

It is an interprime number because it is at equal distance from previous prime (3126963839) and next prime (3126963841).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3126963792 and 3126963801.

It is not an unprimeable number, because it can be changed into a prime (3126963841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1921107 + ... + 1922733.

It is an arithmetic number, because the mean of its divisors is an integer number (26153820).

Almost surely, 2^3126963840 is an apocalyptic number.

3126963840 is a gapful number since it is divisible by the number (30) 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 3126963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695377920).

3126963840 is an abundant number, since it is smaller than the sum of its proper divisors (10263792000).

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

3126963840 is a wasteful number, since it uses less digits than its factorization.

3126963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 3126963840 is about 55919.2617977026. The cubic root of 3126963840 is about 1462.3150611352.

The spelling of 3126963840 in words is "three billion, one hundred twenty-six million, nine hundred sixty-three thousand, eight hundred forty".