34199040 has 160 divisors (see below), whose sum is σ = 112644576. Its totient is φ = 8847360.

The previous prime is 34199027. The next prime is 34199083. The reversal of 34199040 is 4099143.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34198989 and 34199007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468444 + ... + 468516.

Almost surely, 2^34199040 is an apocalyptic number.

34199040 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 34199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56322288).

34199040 is an abundant number, since it is smaller than the sum of its proper divisors (78445536).

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

34199040 is an equidigital number, since it uses as much as digits as its factorization.

34199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 34199040 is about 5847.9945280412. The cubic root of 34199040 is about 324.5921194809.

The spelling of 34199040 in words is "thirty-four million, one hundred ninety-nine thousand, forty".