3598022400 has 432 divisors, whose sum is σ = 14294918400. Its totient is φ = 778567680.

The previous prime is 3598022383. The next prime is 3598022401. The reversal of 3598022400 is 42208953.

It is a happy number.

3598022400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3598022401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2552896 + ... + 2554304.

Almost surely, 2^3598022400 is an apocalyptic number.

3598022400 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 3598022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7147459200).

3598022400 is an abundant number, since it is smaller than the sum of its proper divisors (10696896000).

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

3598022400 is a wasteful number, since it uses less digits than its factorization.

3598022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3598022400 is about 59983.5177361248. The cubic root of 3598022400 is about 1532.3381738400.

The spelling of 3598022400 in words is "three billion, five hundred ninety-eight million, twenty-two thousand, four hundred".