34393149483264 has 2160 divisors, whose sum is σ = 132487375071744. Its totient is φ = 8757293875200.

The previous prime is 34393149483221. The next prime is 34393149483269. The reversal of 34393149483264 is 46238494139343.

It is a happy number.

34393149483264 is a `hidden beast` number, since 3 + 4 + 3 + 9 + 3 + 1 + 494 + 83 + 2 + 64 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34393149483269) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20314913202 + ... + 20314914894.

Almost surely, 2^{34393149483264} is an apocalyptic number.

34393149483264 is a gapful number since it is divisible by the number (34) 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 34393149483264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66243687535872).

34393149483264 is an abundant number, since it is smaller than the sum of its proper divisors (98094225588480).

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

34393149483264 is a wasteful number, since it uses less digits than its factorization.

34393149483264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1770 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 63.

The spelling of 34393149483264 in words is "thirty-four trillion, three hundred ninety-three billion, one hundred forty-nine million, four hundred eighty-three thousand, two hundred sixty-four".