3880752809472 has 1200 divisors, whose sum is σ = 14825630527488. Its totient is φ = 999319265280.

The previous prime is 3880752809471. The next prime is 3880752809489. The reversal of 3880752809472 is 2749082570883.

3880752809472 is a `hidden beast` number, since 3 + 8 + 80 + 7 + 5 + 2 + 80 + 9 + 472 = 666.

It is a super-2 number, since 2×3880752809472² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3880752809471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2838882133 + ... + 2838883499.

Almost surely, 2^{3880752809472} is an apocalyptic number.

3880752809472 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 3880752809472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7412815263744).

3880752809472 is an abundant number, since it is smaller than the sum of its proper divisors (10944877718016).

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

3880752809472 is a wasteful number, since it uses less digits than its factorization.

3880752809472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 3880752809472 in words is "three trillion, eight hundred eighty billion, seven hundred fifty-two million, eight hundred nine thousand, four hundred seventy-two".