3534153366240 has 480 divisors, whose sum is σ = 14434883527680. Its totient is φ = 797579467776.

The previous prime is 3534153366221. The next prime is 3534153366251. The reversal of 3534153366240 is 426633514353.

3534153366240 is a `hidden beast` number, since 3 + 5 + 3 + 4 + 15 + 3 + 3 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3534153366240² (a number of 26 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 6920319 + ... + 7413441.

It is an arithmetic number, because the mean of its divisors is an integer number (30072674016).

Almost surely, 2^{3534153366240} is an apocalyptic number.

3534153366240 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 3534153366240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217441763840).

3534153366240 is an abundant number, since it is smaller than the sum of its proper divisors (10900730161440).

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

3534153366240 is a wasteful number, since it uses less digits than its factorization.

3534153366240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493236 (or 493219 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 3534153366240 in words is "three trillion, five hundred thirty-four billion, one hundred fifty-three million, three hundred sixty-six thousand, two hundred forty".