34378080 has 192 divisors, whose sum is σ = 125411328. Its totient is φ = 7823360.

The previous prime is 34378073. The next prime is 34378081. The reversal of 34378080 is 8087343.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34378081) 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, 89569 + ... + 89951.

It is an arithmetic number, because the mean of its divisors is an integer number (653184).

Almost surely, 2^34378080 is an apocalyptic number.

34378080 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 34378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62705664).

34378080 is an abundant number, since it is smaller than the sum of its proper divisors (91033248).

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

34378080 is a wasteful number, since it uses less digits than its factorization.

34378080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 34378080 is about 5863.2823571784. The cubic root of 34378080 is about 325.1575725056.

The spelling of 34378080 in words is "thirty-four million, three hundred seventy-eight thousand, eighty".