1734538365252 has 1728 divisors, whose sum is σ = 6419818496000. Its totient is φ = 407390860800.

The previous prime is 1734538365229. The next prime is 1734538365253. The reversal of 1734538365252 is 2525638354371.

1734538365252 is a `hidden beast` number, since 1 + 7 + 3 + 4 + 5 + 383 + 6 + 5 + 252 = 666.

It is a super-2 number, since 2×1734538365252² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1734538365253) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 23760799488 + ... + 23760799560.

Almost surely, 2^{1734538365252} is an apocalyptic number.

1734538365252 is a gapful number since it is divisible by the number (12) 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 1734538365252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209909248000).

1734538365252 is an abundant number, since it is smaller than the sum of its proper divisors (4685280130748).

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

1734538365252 is a wasteful number, since it uses less digits than its factorization.

1734538365252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 146 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 1734538365252 in words is "one trillion, seven hundred thirty-four billion, five hundred thirty-eight million, three hundred sixty-five thousand, two hundred fifty-two".