3554798400 has 504 divisors, whose sum is σ = 13482303744. Its totient is φ = 920678400.

The previous prime is 3554798399. The next prime is 3554798473. The reversal of 3554798400 is 48974553.

3554798400 is a `hidden beast` number, since 3 + 554 + 7 + 98 + 4 + 0 + 0 = 666.

3554798400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15940689 + ... + 15940911.

Almost surely, 2^3554798400 is an apocalyptic number.

3554798400 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 3554798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6741151872).

3554798400 is an abundant number, since it is smaller than the sum of its proper divisors (9927505344).

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

3554798400 is a wasteful number, since it uses less digits than its factorization.

3554798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3554798400 is about 59622.1301196125. The cubic root of 3554798400 is about 1526.1773082029.

The spelling of 3554798400 in words is "three billion, five hundred fifty-four million, seven hundred ninety-eight thousand, four hundred".