34864358400 has 297 divisors, whose sum is σ = 125152624051. Its totient is φ = 9273262080.

The previous prime is 34864358369. The next prime is 34864358401. The reversal of 34864358400 is 485346843.

The square root of 34864358400 is 186720.

It is a perfect power (a square), and thus also a powerful number.

34864358400 is a `hidden beast` number, since 3 + 4 + 8 + 64 + 3 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5795472384 + 29068886016 = 76128^2 + 170496^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34864358401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 89625406 + ... + 89625794.

Almost surely, 2^34864358400 is an apocalyptic number.

34864358400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34864358400 is the 186720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34864358400

34864358400 is an abundant number, since it is smaller than the sum of its proper divisors (90288265651).

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

34864358400 is an equidigital number, since it uses as much as digits as its factorization.

34864358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 34864358400 in words is "thirty-four billion, eight hundred sixty-four million, three hundred fifty-eight thousand, four hundred".