3409694400 has 672 divisors, whose sum is σ = 13858240000. Its totient is φ = 731566080.

The previous prime is 3409694389. The next prime is 3409694441. The reversal of 3409694400 is 44969043.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31281546 + ... + 31281654.

Almost surely, 2^3409694400 is an apocalyptic number.

3409694400 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 3409694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929120000).

3409694400 is an abundant number, since it is smaller than the sum of its proper divisors (10448545600).

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

3409694400 is a wasteful number, since it uses less digits than its factorization.

3409694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 3409694400 is about 58392.5885708109. The cubic root of 3409694400 is about 1505.1223985544.

The spelling of 3409694400 in words is "three billion, four hundred nine million, six hundred ninety-four thousand, four hundred".