34294717440 has 352 divisors, whose sum is σ = 129055325760. Its totient is φ = 8606711808.

The previous prime is 34294717439. The next prime is 34294717469. The reversal of 34294717440 is 4471749243.

It is a super-2 number, since 2×34294717440² (a number of 22 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 2342784 + ... + 2357376.

Almost surely, 2^34294717440 is an apocalyptic number.

34294717440 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 34294717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64527662880).

34294717440 is an abundant number, since it is smaller than the sum of its proper divisors (94760608320).

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

34294717440 is a wasteful number, since it uses less digits than its factorization.

34294717440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14644 (or 14620 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 34294717440 in words is "thirty-four billion, two hundred ninety-four million, seven hundred seventeen thousand, four hundred forty".