3895519962240 has 320 divisors, whose sum is σ = 14391321219000. Its totient is φ = 1002984062976.

The previous prime is 3895519962221. The next prime is 3895519962247. The reversal of 3895519962240 is 422699155983.

3895519962240 is a `hidden beast` number, since 3 + 8 + 9 + 5 + 519 + 96 + 2 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3537619292736 + 357900669504 = 1880856^2 + 598248^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (3895519962247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 207756 + ... + 2798964.

Almost surely, 2^{3895519962240} is an apocalyptic number.

3895519962240 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 3895519962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195660609500).

3895519962240 is an abundant number, since it is smaller than the sum of its proper divisors (10495801256760).

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

3895519962240 is a wasteful number, since it uses less digits than its factorization.

3895519962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591269 (or 2591248 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 3895519962240 in words is "three trillion, eight hundred ninety-five billion, five hundred nineteen million, nine hundred sixty-two thousand, two hundred forty".