3442451000400 has 240 divisors, whose sum is σ = 12897448766400. Its totient is φ = 869671779840.

The previous prime is 3442451000357. The next prime is 3442451000423. The reversal of 3442451000400 is 40001542443.

It is a happy number.

3442451000400 is a `hidden beast` number, since 3 + 4 + 4 + 245 + 10 + 0 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8182839 + ... + 8593238.

It is an arithmetic number, because the mean of its divisors is an integer number (53739369860).

Almost surely, 2^{3442451000400} is an apocalyptic number.

3442451000400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3442451000400 is an abundant number, since it is smaller than the sum of its proper divisors (9454997766000).

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

3442451000400 is a wasteful number, since it uses less digits than its factorization.

3442451000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16776123 (or 16776106 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 3442451000400 its reverse (40001542443), we get a palindrome (3482452542843).

The spelling of 3442451000400 in words is "three trillion, four hundred forty-two billion, four hundred fifty-one million, four hundred", and thus it is an aban number.