3533798400 has 528 divisors, whose sum is σ = 13158443520. Its totient is φ = 829030400.

The previous prime is 3533798383. The next prime is 3533798431. The reversal of 3533798400 is 48973353.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×3533798400² = 24975462263685120000, 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 47 ways as a sum of consecutive naturals, for example, 39705556 + ... + 39705644.

Almost surely, 2^3533798400 is an apocalyptic number.

3533798400 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 3533798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6579221760).

3533798400 is an abundant number, since it is smaller than the sum of its proper divisors (9624645120).

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

3533798400 is a wasteful number, since it uses less digits than its factorization.

3533798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 3533798400 is about 59445.7601515869. The cubic root of 3533798400 is about 1523.1660692016.

The spelling of 3533798400 in words is "three billion, five hundred thirty-three million, seven hundred ninety-eight thousand, four hundred".