34079500 has 144 divisors (see below), whose sum is σ = 94112928. Its totient is φ = 10684800.

The previous prime is 34079497. The next prime is 34079527. The reversal of 34079500 is 597043.

It is a super-2 number, since 2×34079500² = 2322824640500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 318447 + ... + 318553.

It is an arithmetic number, because the mean of its divisors is an integer number (653562).

Almost surely, 2^34079500 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 34079500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47056464).

34079500 is an abundant number, since it is smaller than the sum of its proper divisors (60033428).

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

34079500 is a wasteful number, since it uses less digits than its factorization.

34079500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 34079500 is about 5837.7649832791. The cubic root of 34079500 is about 324.2134827373.

The spelling of 34079500 in words is "thirty-four million, seventy-nine thousand, five hundred".