34325274350400 has 168 divisors, whose sum is σ = 122853277568544. Its totient is φ = 8321278617600.

The previous prime is 34325274350387. The next prime is 34325274350429. The reversal of 34325274350400 is 405347252343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324997147 + ... + 325102746.

Almost surely, 2^{34325274350400} is an apocalyptic number.

34325274350400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34325274350400 is an abundant number, since it is smaller than the sum of its proper divisors (88528003218144).

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

34325274350400 is a wasteful number, since it uses less digits than its factorization.

34325274350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650099929 (or 650099914 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 42.

The spelling of 34325274350400 in words is "thirty-four trillion, three hundred twenty-five billion, two hundred seventy-four million, three hundred fifty thousand, four hundred".