3895106977440 has 1152 divisors, whose sum is σ = 16213803540480. Its totient is φ = 832262086656.

The previous prime is 3895106977439. The next prime is 3895106977451. The reversal of 3895106977440 is 447796015983.

3895106977440 is a `hidden beast` number, since 3 + 8 + 9 + 510 + 6 + 9 + 7 + 74 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4411219239 + ... + 4411220121.

It is an arithmetic number, because the mean of its divisors is an integer number (14074482240).

Almost surely, 2^{3895106977440} is an apocalyptic number.

3895106977440 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 3895106977440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8106901770240).

3895106977440 is an abundant number, since it is smaller than the sum of its proper divisors (12318696563040).

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

3895106977440 is a wasteful number, since it uses less digits than its factorization.

3895106977440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 3895106977440 in words is "three trillion, eight hundred ninety-five billion, one hundred six million, nine hundred seventy-seven thousand, four hundred forty".