3429094800 has 60 divisors (see below), whose sum is σ = 10984537520. Its totient is φ = 914424960.

The previous prime is 3429094789. The next prime is 3429094811. The reversal of 3429094800 is 84909243.

It is an interprime number because it is at equal distance from previous prime (3429094789) and next prime (3429094811).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3429094800² = 23517382294774080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1427590 + ... + 1429989.

Almost surely, 2^3429094800 is an apocalyptic number.

3429094800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3429094800 is an abundant number, since it is smaller than the sum of its proper divisors (7555442720).

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

3429094800 is a wasteful number, since it uses less digits than its factorization.

3429094800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857600 (or 2857589 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3429094800 is about 58558.4733407557. The cubic root of 3429094800 is about 1507.9716050725.

The spelling of 3429094800 in words is "three billion, four hundred twenty-nine million, ninety-four thousand, eight hundred".