1034628309000 has 960 divisors, whose sum is σ = 4272840823680. Its totient is φ = 231491520000.

The previous prime is 1034628308999. The next prime is 1034628309007. The reversal of 1034628309000 is 9038264301.

1034628309000 is a `hidden beast` number, since 1 + 0 + 346 + 2 + 8 + 309 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1034628309007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 150575565 + ... + 150582435.

It is an arithmetic number, because the mean of its divisors is an integer number (4450875858).

Almost surely, 2^{1034628309000} is an apocalyptic number.

1034628309000 is a gapful number since it is divisible by the number (10) 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 1034628309000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136420411840).

1034628309000 is an abundant number, since it is smaller than the sum of its proper divisors (3238212514680).

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

1034628309000 is a wasteful number, since it uses less digits than its factorization.

1034628309000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6941 (or 6905 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1034628309000 in words is "one trillion, thirty-four billion, six hundred twenty-eight million, three hundred nine thousand".