34419492000 has 576 divisors, whose sum is σ = 134195128704. Its totient is φ = 8634470400.

The previous prime is 34419491969. The next prime is 34419492007. The reversal of 34419492000 is 29491443.

34419492000 is a `hidden beast` number, since 3 + 441 + 9 + 4 + 9 + 200 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34419492007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16522959 + ... + 16525041.

It is an arithmetic number, because the mean of its divisors is an integer number (232977654).

Almost surely, 2^34419492000 is an apocalyptic number.

34419492000 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 34419492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67097564352).

34419492000 is an abundant number, since it is smaller than the sum of its proper divisors (99775636704).

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

34419492000 is a wasteful number, since it uses less digits than its factorization.

34419492000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 34419492000 in words is "thirty-four billion, four hundred nineteen million, four hundred ninety-two thousand".