34990080000 has 600 divisors, whose sum is σ = 125293668192. Its totient is φ = 8650752000.

The previous prime is 34990079987. The next prime is 34990080011. The reversal of 34990080000 is 8009943.

It is a tau number, because it is divible by the number of its divisors (600).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 522239967 + ... + 522240033.

Almost surely, 2^34990080000 is an apocalyptic number.

34990080000 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 34990080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62646834096).

34990080000 is an abundant number, since it is smaller than the sum of its proper divisors (90303588192).

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

34990080000 is an frugal number, since it uses more digits than its factorization.

34990080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

Adding to 34990080000 its reverse (8009943), we get a palindrome (34998089943).

The spelling of 34990080000 in words is "thirty-four billion, nine hundred ninety million, eighty thousand".