34254950400 has 936 divisors, whose sum is σ = 139433099520. Its totient is φ = 7962624000.

The previous prime is 34254950383. The next prime is 34254950419. The reversal of 34254950400 is 405945243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 314265546 + ... + 314265654.

Almost surely, 2^34254950400 is an apocalyptic number.

34254950400 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 34254950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69716549760).

34254950400 is an abundant number, since it is smaller than the sum of its proper divisors (105178149120).

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

34254950400 is a wasteful number, since it uses less digits than its factorization.

34254950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 34254950400 in words is "thirty-four billion, two hundred fifty-four million, nine hundred fifty thousand, four hundred".