3432404042400 has 144 divisors (see below), whose sum is σ = 11205630543744. Its totient is φ = 912591482880.

The previous prime is 3432404042381. The next prime is 3432404042411. The reversal of 3432404042400 is 42404042343.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1313112 + ... + 2930711.

It is an arithmetic number, because the mean of its divisors is an integer number (77816878776).

Almost surely, 2^{3432404042400} is an apocalyptic number.

3432404042400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3432404042400 is an abundant number, since it is smaller than the sum of its proper divisors (7773226501344).

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

3432404042400 is a wasteful number, since it uses less digits than its factorization.

3432404042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244183 (or 4244170 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 3432404042400 its reverse (42404042343), we get a palindrome (3474808084743).

The spelling of 3432404042400 in words is "three trillion, four hundred thirty-two billion, four hundred four million, forty-two thousand, four hundred".