34270934630400 has 4608 divisors, whose sum is σ = 156536712259200. Its totient is φ = 7338354278400.

The previous prime is 34270934630393. The next prime is 34270934630453. The reversal of 34270934630400 is 403643907243.

34270934630400 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 0 + 9 + 3 + 4 + 630 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×34270934630400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 835876454380 + ... + 835876454420.

Almost surely, 2^{34270934630400} is an apocalyptic number.

34270934630400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34270934630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78268356129600).

34270934630400 is an abundant number, since it is smaller than the sum of its proper divisors (122265777628800).

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

34270934630400 is a wasteful number, since it uses less digits than its factorization.

34270934630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 34270934630400 in words is "thirty-four trillion, two hundred seventy billion, nine hundred thirty-four million, six hundred thirty thousand, four hundred".