1036342765720 has 64 divisors (see below), whose sum is σ = 2471330606400. Its totient is φ = 389773885440.

The previous prime is 1036342765699. The next prime is 1036342765751. The reversal of 1036342765720 is 275672436301.

1036342765720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1036342765720³ (a number of 37 digits) contains 333 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, 38025 + ... + 1440184.

It is an arithmetic number, because the mean of its divisors is an integer number (38614540725).

Almost surely, 2^{1036342765720} is an apocalyptic number.

1036342765720 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 1036342765720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235665303200).

1036342765720 is an abundant number, since it is smaller than the sum of its proper divisors (1434987840680).

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

1036342765720 is a wasteful number, since it uses less digits than its factorization.

1036342765720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479268 (or 1479264 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 46.

The spelling of 1036342765720 in words is "one trillion, thirty-six billion, three hundred forty-two million, seven hundred sixty-five thousand, seven hundred twenty".