3533798016000 has 3520 divisors, whose sum is σ = 16469560673280. Its totient is φ = 735746457600.

The previous prime is 3533798015989. The next prime is 3533798016011. The reversal of 3533798016000 is 6108973353.

3533798016000 is a `hidden beast` number, since 3 + 5 + 3 + 37 + 9 + 8 + 0 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3533798015989) and next prime (3533798016011).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 48408191964 + ... + 48408192036.

It is an arithmetic number, because the mean of its divisors is an integer number (4678852464).

Almost surely, 2^{3533798016000} is an apocalyptic number.

3533798016000 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 3533798016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8234780336640).

3533798016000 is an abundant number, since it is smaller than the sum of its proper divisors (12935762657280).

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

3533798016000 is a wasteful number, since it uses less digits than its factorization.

3533798016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 3533798016000 in words is "three trillion, five hundred thirty-three billion, seven hundred ninety-eight million, sixteen thousand".