3555348798240 has 960 divisors, whose sum is σ = 13376176894080. Its totient is φ = 886837248000.

The previous prime is 3555348798163. The next prime is 3555348798317. The reversal of 3555348798240 is 428978435553.

3555348798240 is a `hidden beast` number, since 3 + 5 + 5 + 534 + 8 + 7 + 98 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3555348798163) and next prime (3555348798317).

It is a super-2 number, since 2×3555348798240² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10741234875 + ... + 10741235205.

It is an arithmetic number, because the mean of its divisors is an integer number (13933517598).

Almost surely, 2^{3555348798240} is an apocalyptic number.

3555348798240 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 3555348798240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688088447040).

3555348798240 is an abundant number, since it is smaller than the sum of its proper divisors (9820828095840).

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

3555348798240 is a wasteful number, since it uses less digits than its factorization.

3555348798240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 3555348798240 in words is "three trillion, five hundred fifty-five billion, three hundred forty-eight million, seven hundred ninety-eight thousand, two hundred forty".