34378050 has 96 divisors (see below), whose sum is σ = 100886400. Its totient is φ = 7580160.

The previous prime is 34378033. The next prime is 34378067. The reversal of 34378050 is 5087343.

It is an interprime number because it is at equal distance from previous prime (34378033) and next prime (34378067).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34377999 and 34378017.

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, 29886 + ... + 31014.

It is an arithmetic number, because the mean of its divisors is an integer number (1050900).

Almost surely, 2^34378050 is an apocalyptic number.

34378050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34378050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50443200).

34378050 is an abundant number, since it is smaller than the sum of its proper divisors (66508350).

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

34378050 is a wasteful number, since it uses less digits than its factorization.

34378050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 34378050 is about 5863.2797988839. The cubic root of 34378050 is about 325.1574779228.

The spelling of 34378050 in words is "thirty-four million, three hundred seventy-eight thousand, fifty".