34669716480 has 528 divisors, whose sum is σ = 144542436480. Its totient is φ = 7506100224.

The previous prime is 34669716469. The next prime is 34669716491. The reversal of 34669716480 is 8461796643.

34669716480 is a `hidden beast` number, since 3 + 4 + 66 + 97 + 16 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (34669716469) and next prime (34669716491).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6125812 + ... + 6131468.

Almost surely, 2^34669716480 is an apocalyptic number.

34669716480 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 34669716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72271218240).

34669716480 is an abundant number, since it is smaller than the sum of its proper divisors (109872720000).

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

34669716480 is a wasteful number, since it uses less digits than its factorization.

34669716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5714 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 34669716480 in words is "thirty-four billion, six hundred sixty-nine million, seven hundred sixteen thousand, four hundred eighty".