34920000 has 210 divisors, whose sum is σ = 126364238. Its totient is φ = 9216000.

The previous prime is 34919993. The next prime is 34920029. The reversal of 34920000 is 2943.

It can be written as a sum of positive squares in 5 ways, for example, as 14561856 + 20358144 = 3816^2 + 4512^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 359952 + ... + 360048.

Almost surely, 2^34920000 is an apocalyptic number.

34920000 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 34920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63182119).

34920000 is an abundant number, since it is smaller than the sum of its proper divisors (91444238).

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

34920000 is an equidigital number, since it uses as much as digits as its factorization.

34920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 34920000 is about 5909.3146810777. The cubic root of 34920000 is about 326.8572167925.

Adding to 34920000 its reverse (2943), we get a palindrome (34922943).

The spelling of 34920000 in words is "thirty-four million, nine hundred twenty thousand".