34900740100800 has 504 divisors, whose sum is σ = 143359168399200. Its totient is φ = 7887677276160.

The previous prime is 34900740100781. The next prime is 34900740100817. The reversal of 34900740100800 is 800104700943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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

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, 7026046 + ... + 10916354.

Almost surely, 2^{34900740100800} is an apocalyptic number.

34900740100800 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 34900740100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71679584199600).

34900740100800 is an abundant number, since it is smaller than the sum of its proper divisors (108458428298400).

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

34900740100800 is a wasteful number, since it uses less digits than its factorization.

34900740100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890433 (or 3890415 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 34900740100800 in words is "thirty-four trillion, nine hundred billion, seven hundred forty million, one hundred thousand, eight hundred".