34265226240 has 528 divisors, whose sum is σ = 142856363520. Its totient is φ = 7418511360.

The previous prime is 34265226217. The next prime is 34265226263. The reversal of 34265226240 is 4262256243.

34265226240 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 5 + 22 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34265226217) and next prime (34265226263).

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 = 34265226195 and 34265226204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6125845 + ... + 6131435.

Almost surely, 2^34265226240 is an apocalyptic number.

34265226240 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 34265226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71428181760).

34265226240 is an abundant number, since it is smaller than the sum of its proper divisors (108591137280).

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

34265226240 is a wasteful number, since it uses less digits than its factorization.

34265226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5648 (or 5627 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34265226240 in words is "thirty-four billion, two hundred sixty-five million, two hundred twenty-six thousand, two hundred forty".