34354990080 has 528 divisors, whose sum is σ = 126018625824. Its totient is φ = 8971223040.

The previous prime is 34354990057. The next prime is 34354990127. The reversal of 34354990080 is 8009945343.

It is a happy number.

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

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, 65940220 + ... + 65940740.

Almost surely, 2^34354990080 is an apocalyptic number.

34354990080 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 34354990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63009312912).

34354990080 is an abundant number, since it is smaller than the sum of its proper divisors (91663635744).

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

34354990080 is an equidigital number, since it uses as much as digits as its factorization.

34354990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 34354990080 in words is "thirty-four billion, three hundred fifty-four million, nine hundred ninety thousand, eighty".