3429094400 has 66 divisors (see below), whose sum is σ = 8500065150. Its totient is φ = 1371627520.

The previous prime is 3429094387. The next prime is 3429094421. The reversal of 3429094400 is 44909243.

It can be written as a sum of positive squares in 3 ways, for example, as 396169216 + 3032925184 = 19904^2 + 55072^2 .

It is a super-2 number, since 2×3429094400² = 23517376808222720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41375 + ... + 92574.

Almost surely, 2^3429094400 is an apocalyptic number.

It is an amenable number.

3429094400 is an abundant number, since it is smaller than the sum of its proper divisors (5070970750).

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

3429094400 is a wasteful number, since it uses less digits than its factorization.

3429094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133979 (or 133956 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 3429094400 is about 58558.4699253660. The cubic root of 3429094400 is about 1507.9715464381.

The spelling of 3429094400 in words is "three billion, four hundred twenty-nine million, ninety-four thousand, four hundred".