34132780 has 48 divisors (see below), whose sum is σ = 78944544. Its totient is φ = 12293120.

The previous prime is 34132751. The next prime is 34132783. The reversal of 34132780 is 8723143.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34132783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24174 + ... + 25546.

It is an arithmetic number, because the mean of its divisors is an integer number (1644678).

Almost surely, 2^34132780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34132780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39472272).

34132780 is an abundant number, since it is smaller than the sum of its proper divisors (44811764).

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

34132780 is a wasteful number, since it uses less digits than its factorization.

34132780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 34132780 is about 5842.3265913504. The cubic root of 34132780 is about 324.3823535643.

The spelling of 34132780 in words is "thirty-four million, one hundred thirty-two thousand, seven hundred eighty".