34298103840 has 1728 divisors, whose sum is σ = 163095690240. Its totient is φ = 5865799680.

The previous prime is 34298103811. The next prime is 34298103869. The reversal of 34298103840 is 4830189243.

It is an interprime number because it is at equal distance from previous prime (34298103811) and next prime (34298103869).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 34298103792 and 34298103801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1805163351 + ... + 1805163369.

It is an arithmetic number, because the mean of its divisors is an integer number (94384080).

Almost surely, 2^34298103840 is an apocalyptic number.

34298103840 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 34298103840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81547845120).

34298103840 is an abundant number, since it is smaller than the sum of its proper divisors (128797586400).

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

34298103840 is a wasteful number, since it uses less digits than its factorization.

34298103840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 34298103840 in words is "thirty-four billion, two hundred ninety-eight million, one hundred three thousand, eight hundred forty".