34054139750400 has 6048 divisors, whose sum is σ = 171749175474240. Its totient is φ = 6497501184000.

The previous prime is 34054139750353. The next prime is 34054139750401. The reversal of 34054139750400 is 405793145043.

34054139750400 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 4 + 139 + 7 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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 (34054139750401) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 830588774380 + ... + 830588774420.

It is an arithmetic number, because the mean of its divisors is an integer number (28397681130).

Almost surely, 2^{34054139750400} is an apocalyptic number.

34054139750400 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 34054139750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85874587737120).

34054139750400 is an abundant number, since it is smaller than the sum of its proper divisors (137695035723840).

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

34054139750400 is a wasteful number, since it uses less digits than its factorization.

34054139750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 34054139750400 in words is "thirty-four trillion, fifty-four billion, one hundred thirty-nine million, seven hundred fifty thousand, four hundred".