34990560 has 216 divisors, whose sum is σ = 133090776. Its totient is φ = 8302080.

The previous prime is 34990531. The next prime is 34990577. The reversal of 34990560 is 6509943.

34990560 is a `hidden beast` number, since 3 + 4 + 9 + 90 + 560 = 666.

It is a super-2 number, since 2×34990560² = 2448678578227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 744457 + ... + 744503.

It is an arithmetic number, because the mean of its divisors is an integer number (616161).

Almost surely, 2^34990560 is an apocalyptic number.

34990560 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 34990560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66545388).

34990560 is an abundant number, since it is smaller than the sum of its proper divisors (98100216).

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

34990560 is a wasteful number, since it uses less digits than its factorization.

34990560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 34990560 is about 5915.2819036797. The cubic root of 34990560 is about 327.0772199307.

It can be divided in two parts, 349 and 90560, that added together give a palindrome (90909).

The spelling of 34990560 in words is "thirty-four million, nine hundred ninety thousand, five hundred sixty".