34478519040 has 432 divisors, whose sum is σ = 138224993088. Its totient is φ = 7771521024.

The previous prime is 34478518999. The next prime is 34478519041. The reversal of 34478519040 is 4091587443.

34478519040 is a `hidden beast` number, since 3 + 4 + 478 + 51 + 90 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34478519041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5883792 + ... + 5889648.

Almost surely, 2^34478519040 is an apocalyptic number.

34478519040 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 34478519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69112496544).

34478519040 is an abundant number, since it is smaller than the sum of its proper divisors (103746474048).

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

34478519040 is a wasteful number, since it uses less digits than its factorization.

34478519040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 34478519040 in words is "thirty-four billion, four hundred seventy-eight million, five hundred nineteen thousand, forty".