34378890 has 128 divisors (see below), whose sum is σ = 104025600. Its totient is φ = 7225344.

The previous prime is 34378889. The next prime is 34378909. The reversal of 34378890 is 9887343.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133642 + ... + 133898.

It is an arithmetic number, because the mean of its divisors is an integer number (812700).

Almost surely, 2^34378890 is an apocalyptic number.

34378890 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 34378890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52012800).

34378890 is an abundant number, since it is smaller than the sum of its proper divisors (69646710).

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

34378890 is a wasteful number, since it uses less digits than its factorization.

34378890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 34378890 is about 5863.3514307092. The cubic root of 34378890 is about 325.1601262217.

The spelling of 34378890 in words is "thirty-four million, three hundred seventy-eight thousand, eight hundred ninety".