34805970 has 64 divisors (see below), whose sum is σ = 98288640. Its totient is φ = 8734464.

The previous prime is 34805951. The next prime is 34805993. The reversal of 34805970 is 7950843.

It is a super-2 number, since 2×34805970² = 2422911095281800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 799 + ... + 8381.

It is an arithmetic number, because the mean of its divisors is an integer number (1535760).

Almost surely, 2^34805970 is an apocalyptic number.

34805970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34805970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49144320).

34805970 is an abundant number, since it is smaller than the sum of its proper divisors (63482670).

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

34805970 is a wasteful number, since it uses less digits than its factorization.

34805970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7616 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 34805970 is about 5899.6584646910. The cubic root of 34805970 is about 326.5010486768.

The spelling of 34805970 in words is "thirty-four million, eight hundred five thousand, nine hundred seventy".