3353516870040 has 320 divisors, whose sum is σ = 11698298488800. Its totient is φ = 860614336512.

The previous prime is 3353516870009. The next prime is 3353516870047. The reversal of 3353516870040 is 400786153533.

3353516870040 is a `hidden beast` number, since 3 + 3 + 53 + 516 + 87 + 0 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×3353516870040² (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 not an unprimeable number, because it can be changed into a prime (3353516870047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28787592 + ... + 28903848.

Almost surely, 2^{3353516870040} is an apocalyptic number.

3353516870040 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 3353516870040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849149244400).

3353516870040 is an abundant number, since it is smaller than the sum of its proper divisors (8344781618760).

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

3353516870040 is a wasteful number, since it uses less digits than its factorization.

3353516870040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116616 (or 116603 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 3353516870040 in words is "three trillion, three hundred fifty-three billion, five hundred sixteen million, eight hundred seventy thousand, forty".