34007970 has 32 divisors (see below), whose sum is σ = 81829440. Its totient is φ = 9045440.

The previous prime is 34007947. The next prime is 34007971. The reversal of 34007970 is 7970043.

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

It is not an unprimeable number, because it can be changed into a prime (34007971) 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, 12601 + ... + 15059.

It is an arithmetic number, because the mean of its divisors is an integer number (2557170).

Almost surely, 2^34007970 is an apocalyptic number.

34007970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34007970 is an abundant number, since it is smaller than the sum of its proper divisors (47821470).

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

34007970 is a wasteful number, since it uses less digits than its factorization.

34007970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930.

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 34007970 is about 5831.6352766613. The cubic root of 34007970 is about 323.9864915874.

The spelling of 34007970 in words is "thirty-four million, seven thousand, nine hundred seventy".