34920960 has 80 divisors (see below), whose sum is σ = 111662496. Its totient is φ = 9310208.

The previous prime is 34920947. The next prime is 34920961. The reversal of 34920960 is 6902943.

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

It is not an unprimeable number, because it can be changed into a prime (34920961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5407 + ... + 9953.

Almost surely, 2^34920960 is an apocalyptic number.

34920960 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 34920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55831248).

34920960 is an abundant number, since it is smaller than the sum of its proper divisors (76741536).

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

34920960 is an equidigital number, since it uses as much as digits as its factorization.

34920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 34920960 is about 5909.3959082126. The cubic root of 34920960 is about 326.8602120202.

The spelling of 34920960 in words is "thirty-four million, nine hundred twenty thousand, nine hundred sixty".