34800780 has 192 divisors, whose sum is σ = 120960000. Its totient is φ = 7451136.

The previous prime is 34800767. The next prime is 34800781. The reversal of 34800780 is 8700843.

It is a super-2 number, since 2×34800780² = 2422188577216800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34800781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390976 + ... + 391064.

It is an arithmetic number, because the mean of its divisors is an integer number (630000).

Almost surely, 2^34800780 is an apocalyptic number.

34800780 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 34800780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

34800780 is an abundant number, since it is smaller than the sum of its proper divisors (86159220).

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

34800780 is a wasteful number, since it uses less digits than its factorization.

34800780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 34800780 is about 5899.2185923222. The cubic root of 34800780 is about 326.4848194238.

The spelling of 34800780 in words is "thirty-four million, eight hundred thousand, seven hundred eighty".