3442015405200 has 120 divisors (see below), whose sum is σ = 11038761752800. Its totient is φ = 916801966080.

The previous prime is 3442015405163. The next prime is 3442015405207. The reversal of 3442015405200 is 25045102443.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3442015405207) 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, 638785 + ... + 2700384.

Almost surely, 2^{3442015405200} is an apocalyptic number.

3442015405200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3442015405200 is an abundant number, since it is smaller than the sum of its proper divisors (7596746347600).

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

3442015405200 is a wasteful number, since it uses less digits than its factorization.

3442015405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3340049 (or 3340038 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 3442015405200 in words is "three trillion, four hundred forty-two billion, fifteen million, four hundred five thousand, two hundred".