34420042800 has 2400 divisors, whose sum is σ = 168784197120. Its totient is φ = 6569164800.

The previous prime is 34420042771. The next prime is 34420042831. The reversal of 34420042800 is 824002443.

It is a happy number.

34420042800 is a `hidden beast` number, since 34 + 4 + 200 + 428 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1496523589 + ... + 1496523611.

Almost surely, 2^34420042800 is an apocalyptic number.

34420042800 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 34420042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84392098560).

34420042800 is an abundant number, since it is smaller than the sum of its proper divisors (134364154320).

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

34420042800 is a wasteful number, since it uses less digits than its factorization.

34420042800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 34420042800 in words is "thirty-four billion, four hundred twenty million, forty-two thousand, eight hundred".