34086490790400 has 720 divisors, whose sum is σ = 122572362616704. Its totient is φ = 9046180823040.

The previous prime is 34086490790383. The next prime is 34086490790423. The reversal of 34086490790400 is 409709468043.

It is a happy number.

34086490790400 is a `hidden beast` number, since 3 + 4 + 0 + 8 + 64 + 90 + 7 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×34086490790400³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30903436249 + ... + 30903437351.

Almost surely, 2^{34086490790400} is an apocalyptic number.

34086490790400 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 34086490790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61286181308352).

34086490790400 is an abundant number, since it is smaller than the sum of its proper divisors (88485871826304).

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

34086490790400 is a wasteful number, since it uses less digits than its factorization.

34086490790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 34086490790400 in words is "thirty-four trillion, eighty-six billion, four hundred ninety million, seven hundred ninety thousand, four hundred".