3428846400 has 672 divisors, whose sum is σ = 13969105920. Its totient is φ = 718848000.

The previous prime is 3428846383. The next prime is 3428846411. The reversal of 3428846400 is 46488243.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26174335 + ... + 26174465.

It is an arithmetic number, because the mean of its divisors is an integer number (20787360).

Almost surely, 2^3428846400 is an apocalyptic number.

3428846400 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 3428846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6984552960).

3428846400 is an abundant number, since it is smaller than the sum of its proper divisors (10540259520).

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

3428846400 is a wasteful number, since it uses less digits than its factorization.

3428846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 3428846400 is about 58556.3523454117. The cubic root of 3428846400 is about 1507.9351922372.

The spelling of 3428846400 in words is "three billion, four hundred twenty-eight million, eight hundred forty-six thousand, four hundred".