34655405400 has 576 divisors, whose sum is σ = 147517344000. Its totient is φ = 7081344000.

The previous prime is 34655405399. The next prime is 34655405417. The reversal of 34655405400 is 450455643.

34655405400 is a `hidden beast` number, since 3 + 4 + 65 + 54 + 0 + 540 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8452551 + ... + 8456649.

It is an arithmetic number, because the mean of its divisors is an integer number (256106500).

Almost surely, 2^34655405400 is an apocalyptic number.

34655405400 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 34655405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73758672000).

34655405400 is an abundant number, since it is smaller than the sum of its proper divisors (112861938600).

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

34655405400 is a wasteful number, since it uses less digits than its factorization.

34655405400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 34655405400 in words is "thirty-four billion, six hundred fifty-five million, four hundred five thousand, four hundred".