34035351400400 has 60 divisors (see below), whose sum is σ = 93451350567072. Its totient is φ = 11669263336320.

The previous prime is 34035351400399. The next prime is 34035351400417. The reversal of 34035351400400 is 400415353043.

It is a super-2 number, since 2×34035351400400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6077738522 + ... + 6077744121.

Almost surely, 2^{34035351400400} is an apocalyptic number.

It is an amenable number.

34035351400400 is an abundant number, since it is smaller than the sum of its proper divisors (59415999166672).

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

34035351400400 is a wasteful number, since it uses less digits than its factorization.

34035351400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12155482668 (or 12155482657 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 34035351400400 its reverse (400415353043), we get a palindrome (34435766753443).

The spelling of 34035351400400 in words is "thirty-four trillion, thirty-five billion, three hundred fifty-one million, four hundred thousand, four hundred".