3126190080 has 448 divisors, whose sum is σ = 11449751040. Its totient is φ = 721944576.

The previous prime is 3126190079. The next prime is 3126190091. The reversal of 3126190080 is 800916213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30351309 + ... + 30351411.

It is an arithmetic number, because the mean of its divisors is an integer number (25557480).

Almost surely, 2^3126190080 is an apocalyptic number.

3126190080 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 3126190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724875520).

3126190080 is an abundant number, since it is smaller than the sum of its proper divisors (8323560960).

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

3126190080 is a wasteful number, since it uses less digits than its factorization.

3126190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 3126190080 is about 55912.3428233874. The cubic root of 3126190080 is about 1462.1944356872.

The spelling of 3126190080 in words is "three billion, one hundred twenty-six million, one hundred ninety thousand, eighty".