34357478400 has 924 divisors, whose sum is σ = 146485154112. Its totient is φ = 7823278080.

The previous prime is 34357478399. The next prime is 34357478401. The reversal of 34357478400 is 487475343.

34357478400 is a `hidden beast` number, since 3 + 4 + 3 + 574 + 78 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34357478399) and next prime (34357478401).

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

It is not an unprimeable number, because it can be changed into a prime (34357478401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 130636669 + ... + 130636931.

Almost surely, 2^34357478400 is an apocalyptic number.

34357478400 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 34357478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73242577056).

34357478400 is an abundant number, since it is smaller than the sum of its proper divisors (112127675712).

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

34357478400 is an equidigital number, since it uses as much as digits as its factorization.

34357478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 34357478400 in words is "thirty-four billion, three hundred fifty-seven million, four hundred seventy-eight thousand, four hundred".