34940100 has 216 divisors, whose sum is σ = 119381248. Its totient is φ = 7833600.

The previous prime is 34940089. The next prime is 34940111. The reversal of 34940100 is 104943.

It is an interprime number because it is at equal distance from previous prime (34940089) and next prime (34940111).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1127085 + ... + 1127115.

Almost surely, 2^34940100 is an apocalyptic number.

34940100 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 34940100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59690624).

34940100 is an abundant number, since it is smaller than the sum of its proper divisors (84441148).

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

34940100 is a wasteful number, since it uses less digits than its factorization.

34940100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 34940100 is about 5911.0151412427. The cubic root of 34940100 is about 326.9199179182.

The spelling of 34940100 in words is "thirty-four million, nine hundred forty thousand, one hundred".