34089660 has 120 divisors (see below), whose sum is σ = 116723376. Its totient is φ = 8259840.

The previous prime is 34089659. The next prime is 34089661. The reversal of 34089660 is 6698043.

It is an interprime number because it is at equal distance from previous prime (34089659) and next prime (34089661).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34089661) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16864 + ... + 18776.

Almost surely, 2^34089660 is an apocalyptic number.

34089660 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 34089660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58361688).

34089660 is an abundant number, since it is smaller than the sum of its proper divisors (82633716).

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

34089660 is a wasteful number, since it uses less digits than its factorization.

34089660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 34089660 is about 5838.6351144767. The cubic root of 34089660 is about 324.2456984065.

It can be divided in two parts, 340 and 89660, that added together give a square (90000 = 300²).

The spelling of 34089660 in words is "thirty-four million, eighty-nine thousand, six hundred sixty".