34359494400 has 1296 divisors, whose sum is σ = 156891291648. Its totient is φ = 6967296000.

The previous prime is 34359494381. The next prime is 34359494413. The reversal of 34359494400 is 449495343.

34359494400 is a `hidden beast` number, since 3 + 435 + 94 + 94 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 270547137 + ... + 270547263.

Almost surely, 2^34359494400 is an apocalyptic number.

34359494400 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 34359494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78445645824).

34359494400 is an abundant number, since it is smaller than the sum of its proper divisors (122531797248).

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

34359494400 is a wasteful number, since it uses less digits than its factorization.

34359494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 34359494400 in words is "thirty-four billion, three hundred fifty-nine million, four hundred ninety-four thousand, four hundred".