34397040 has 80 divisors (see below), whose sum is σ = 107243136. Its totient is φ = 9120000.

The previous prime is 34397003. The next prime is 34397047. The reversal of 34397040 is 4079343.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 34396989 and 34397007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34397047) 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, 59955 + ... + 60525.

Almost surely, 2^34397040 is an apocalyptic number.

34397040 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 34397040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53621568).

34397040 is an abundant number, since it is smaller than the sum of its proper divisors (72846096).

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

34397040 is a wasteful number, since it uses less digits than its factorization.

34397040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 34397040 is about 5864.8989761120. The cubic root of 34397040 is about 325.2173378616.

The spelling of 34397040 in words is "thirty-four million, three hundred ninety-seven thousand, forty".