34478241840 has 320 divisors, whose sum is σ = 137639761920. Its totient is φ = 7769502720.

The previous prime is 34478241829. The next prime is 34478241857. The reversal of 34478241840 is 4814287443.

34478241840 is a `hidden beast` number, since 3 + 447 + 8 + 24 + 184 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1057462 + ... + 1089578.

It is an arithmetic number, because the mean of its divisors is an integer number (430124256).

Almost surely, 2^34478241840 is an apocalyptic number.

34478241840 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 34478241840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68819880960).

34478241840 is an abundant number, since it is smaller than the sum of its proper divisors (103161520080).

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

34478241840 is a wasteful number, since it uses less digits than its factorization.

34478241840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32217 (or 32205 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 34478241840 in words is "thirty-four billion, four hundred seventy-eight million, two hundred forty-one thousand, eight hundred forty".