3424198400 has 324 divisors, whose sum is σ = 10076776920. Its totient is φ = 1148313600.

The previous prime is 3424198397. The next prime is 3424198441. The reversal of 3424198400 is 48914243.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19129511 + ... + 19129689.

Almost surely, 2^3424198400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038388460).

3424198400 is an abundant number, since it is smaller than the sum of its proper divisors (6652578520).

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

3424198400 is a wasteful number, since it uses less digits than its factorization.

3424198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 3424198400 is about 58516.6506218529. The cubic root of 3424198400 is about 1507.2535196157.

The spelling of 3424198400 in words is "three billion, four hundred twenty-four million, one hundred ninety-eight thousand, four hundred".