3895677434880 has 2640 divisors, whose sum is σ = 17935765199520. Its totient is φ = 801146142720.

The previous prime is 3895677434867. The next prime is 3895677434953. The reversal of 3895677434880 is 884347765983.

3895677434880 is a `hidden beast` number, since 3 + 89 + 5 + 67 + 7 + 4 + 3 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a super-2 number, since 2×3895677434880² (a number of 26 digits) contains 22 as substring.

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 = 3895677434799 and 3895677434808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 40161622992 + ... + 40161623088.

Almost surely, 2^{3895677434880} is an apocalyptic number.

3895677434880 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 3895677434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8967882599760).

3895677434880 is an abundant number, since it is smaller than the sum of its proper divisors (14040087764640).

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

3895677434880 is an equidigital number, since it uses as much as digits as its factorization.

3895677434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 3895677434880 in words is "three trillion, eight hundred ninety-five billion, six hundred seventy-seven million, four hundred thirty-four thousand, eight hundred eighty".