1034675017728 has 192 divisors, whose sum is σ = 3140069587200. Its totient is φ = 299905351680.

The previous prime is 1034675017711. The next prime is 1034675017799. The reversal of 1034675017728 is 8277105764301.

1034675017728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1034675017728² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1221618 + ... + 1887246.

It is an arithmetic number, because the mean of its divisors is an integer number (16354529100).

Almost surely, 2^{1034675017728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034675017728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570034793600).

1034675017728 is an abundant number, since it is smaller than the sum of its proper divisors (2105394569472).

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

1034675017728 is a wasteful number, since it uses less digits than its factorization.

1034675017728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665688 (or 665668 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 1034675017728 in words is "one trillion, thirty-four billion, six hundred seventy-five million, seventeen thousand, seven hundred twenty-eight".