34378935300864 has 576 divisors, whose sum is σ = 131121389952000. Its totient is φ = 8621672693760.

The previous prime is 34378935300859. The next prime is 34378935300877. The reversal of 34378935300864 is 46800353987343.

34378935300864 is a `hidden beast` number, since 3 + 4 + 3 + 7 + 8 + 93 + 530 + 0 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×34378935300864² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14320792 + ... + 16548200.

It is an arithmetic number, because the mean of its divisors is an integer number (227641302000).

Almost surely, 2^{34378935300864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34378935300864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65560694976000).

34378935300864 is an abundant number, since it is smaller than the sum of its proper divisors (96742454651136).

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

34378935300864 is a wasteful number, since it uses less digits than its factorization.

34378935300864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227481 (or 2227461 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

It can be divided in two parts, 343789 and 35300864, that added together give a palindrome (35644653).

The spelling of 34378935300864 in words is "thirty-four trillion, three hundred seventy-eight billion, nine hundred thirty-five million, three hundred thousand, eight hundred sixty-four".