34638373440 has 280 divisors, whose sum is σ = 134417238912. Its totient is φ = 8397112320.

The previous prime is 34638373439. The next prime is 34638373481. The reversal of 34638373440 is 4437383643.

34638373440 is a `hidden beast` number, since 3 + 4 + 63 + 83 + 73 + 440 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 224377 + ... + 345863.

Almost surely, 2^34638373440 is an apocalyptic number.

34638373440 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 34638373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67208619456).

34638373440 is an abundant number, since it is smaller than the sum of its proper divisors (99778865472).

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

34638373440 is a wasteful number, since it uses less digits than its factorization.

34638373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121527 (or 121508 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 34638373440 in words is "thirty-four billion, six hundred thirty-eight million, three hundred seventy-three thousand, four hundred forty".