3883495956480 has 504 divisors, whose sum is σ = 15659908837092. Its totient is φ = 887652089856.

The previous prime is 3883495956449. The next prime is 3883495956511. The reversal of 3883495956480 is 846595943883.

It is a happy number.

3883495956480 is a `hidden beast` number, since 3 + 8 + 8 + 3 + 4 + 9 + 59 + 564 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3883495956449) and next prime (3883495956511).

It can be written as a sum of positive squares in 2 ways, for example, as 3248299708416 + 635196248064 = 1802304^2 + 796992^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3883495956399 and 3883495956408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17955864 + ... + 18170856.

Almost surely, 2^{3883495956480} is an apocalyptic number.

3883495956480 is a gapful number since it is divisible by the number (30) 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 3883495956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7829954418546).

3883495956480 is an abundant number, since it is smaller than the sum of its proper divisors (11776412880612).

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

3883495956480 is a wasteful number, since it uses less digits than its factorization.

3883495956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215044 (or 215010 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 3883495956480 in words is "three trillion, eight hundred eighty-three billion, four hundred ninety-five million, nine hundred fifty-six thousand, four hundred eighty".