34262403840 has 720 divisors, whose sum is σ = 148406271552. Its totient is φ = 7368081408.

The previous prime is 34262403817. The next prime is 34262403853. The reversal of 34262403840 is 4830426243.

34262403840 is a `hidden beast` number, since 34 + 2 + 6 + 240 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 34262403795 and 34262403804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12336532 + ... + 12339308.

Almost surely, 2^34262403840 is an apocalyptic number.

34262403840 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 34262403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74203135776).

34262403840 is an abundant number, since it is smaller than the sum of its proper divisors (114143867712).

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

34262403840 is a wasteful number, since it uses less digits than its factorization.

34262403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 34262403840 in words is "thirty-four billion, two hundred sixty-two million, four hundred three thousand, eight hundred forty".