34198917120 has 416 divisors, whose sum is σ = 126914630400. Its totient is φ = 8719958016.

The previous prime is 34198917107. The next prime is 34198917121. The reversal of 34198917120 is 2171989143.

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

It is not an unprimeable number, because it can be changed into a prime (34198917121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12716736 + ... + 12719424.

Almost surely, 2^34198917120 is an apocalyptic number.

34198917120 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 34198917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63457315200).

34198917120 is an abundant number, since it is smaller than the sum of its proper divisors (92715713280).

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

34198917120 is a wasteful number, since it uses less digits than its factorization.

34198917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 34198917120 in words is "thirty-four billion, one hundred ninety-eight million, nine hundred seventeen thousand, one hundred twenty".