3126629880 has 384 divisors, whose sum is σ = 11499770880. Its totient is φ = 730229760.

The previous prime is 3126629879. The next prime is 3126629923. The reversal of 3126629880 is 889266213.

3126629880 is a `hidden beast` number, since 3 + 12 + 6 + 629 + 8 + 8 + 0 = 666.

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

It is a congruent number.

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, 19914762 + ... + 19914918.

It is an arithmetic number, because the mean of its divisors is an integer number (29947320).

Almost surely, 2^3126629880 is an apocalyptic number.

3126629880 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 3126629880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749885440).

3126629880 is an abundant number, since it is smaller than the sum of its proper divisors (8373141000).

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

3126629880 is a wasteful number, since it uses less digits than its factorization.

3126629880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3126629880 is about 55916.2756270480. The cubic root of 3126629880 is about 1462.2630008248.

The spelling of 3126629880 in words is "three billion, one hundred twenty-six million, six hundred twenty-nine thousand, eight hundred eighty".