34269603840 has 288 divisors, whose sum is σ = 125029850400. Its totient is φ = 8657141760.

The previous prime is 34269603827. The next prime is 34269603931. The reversal of 34269603840 is 4830696243.

34269603840 is a `hidden beast` number, since 3 + 4 + 269 + 6 + 0 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1741255 + ... + 1760825.

It is an arithmetic number, because the mean of its divisors is an integer number (434131425).

Almost surely, 2^34269603840 is an apocalyptic number.

34269603840 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 34269603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62514925200).

34269603840 is an abundant number, since it is smaller than the sum of its proper divisors (90760246560).

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

34269603840 is a wasteful number, since it uses less digits than its factorization.

34269603840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19623 (or 19600 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 34269603840 in words is "thirty-four billion, two hundred sixty-nine million, six hundred three thousand, eight hundred forty".