3126969900 has 288 divisors, whose sum is σ = 10453289280. Its totient is φ = 801239040.

The previous prime is 3126969871. The next prime is 3126969929. The reversal of 3126969900 is 99696213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3126969871) and next prime (3126969929).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11288562 + ... + 11288838.

Almost surely, 2^3126969900 is an apocalyptic number.

3126969900 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 3126969900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5226644640).

3126969900 is an abundant number, since it is smaller than the sum of its proper divisors (7326319380).

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

3126969900 is a wasteful number, since it uses less digits than its factorization.

3126969900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 3126969900 is about 55919.3159829410. The cubic root of 3126969900 is about 1462.3160057814.

The spelling of 3126969900 in words is "three billion, one hundred twenty-six million, nine hundred sixty-nine thousand, nine hundred".