34964001 has 32 divisors (see below), whose sum is σ = 54963200. Its totient is φ = 21928320.

The previous prime is 34963991. The next prime is 34964003. The reversal of 34964001 is 10046943.

It is not a de Polignac number, because 34964001 - 2⁵ = 34963969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34964003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30405 + ... + 31533.

It is an arithmetic number, because the mean of its divisors is an integer number (1717600).

Almost surely, 2^34964001 is an apocalyptic number.

34964001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34964001 is a deficient number, since it is larger than the sum of its proper divisors (19999199).

34964001 is a wasteful number, since it uses less digits than its factorization.

34964001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34964001 is about 5913.0365295675. The cubic root of 34964001 is about 326.9944448177.

The spelling of 34964001 in words is "thirty-four million, nine hundred sixty-four thousand, one".