3442132541160 has 96 divisors (see below), whose sum is σ = 11194239494880. Its totient is φ = 917302320000.

The previous prime is 3442132541147. The next prime is 3442132541161. The reversal of 3442132541160 is 611452312443.

3442132541160 is a `hidden beast` number, since 3 + 4 + 4 + 21 + 32 + 541 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3442132541161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2571466 + ... + 3673785.

It is an arithmetic number, because the mean of its divisors is an integer number (116606661405).

Almost surely, 2^{3442132541160} is an apocalyptic number.

3442132541160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3442132541160 is an abundant number, since it is smaller than the sum of its proper divisors (7752106953720).

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

3442132541160 is a wasteful number, since it uses less digits than its factorization.

3442132541160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246799 (or 6246792 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 3442132541160 in words is "three trillion, four hundred forty-two billion, one hundred thirty-two million, five hundred forty-one thousand, one hundred sixty".