3785464534272 has 288 divisors, whose sum is σ = 10719929041920. Its totient is φ = 1182510120960.

The previous prime is 3785464534231. The next prime is 3785464534289. The reversal of 3785464534272 is 2724354645873.

It is a super-2 number, since 2×3785464534272² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967899997 + ... + 967903907.

It is an arithmetic number, because the mean of its divisors is an integer number (37221975840).

Almost surely, 2^{3785464534272} is an apocalyptic number.

3785464534272 is a gapful number since it is divisible by the number (32) 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 3785464534272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359964520960).

3785464534272 is an abundant number, since it is smaller than the sum of its proper divisors (6934464507648).

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

3785464534272 is a wasteful number, since it uses less digits than its factorization.

3785464534272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4635 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 60.

The spelling of 3785464534272 in words is "three trillion, seven hundred eighty-five billion, four hundred sixty-four million, five hundred thirty-four thousand, two hundred seventy-two".