3358788561954 has 576 divisors, whose sum is σ = 9728971948800. Its totient is φ = 831644319744.

The previous prime is 3358788561949. The next prime is 3358788561983. The reversal of 3358788561954 is 4591658878533.

3358788561954 is a `hidden beast` number, since 3 + 3 + 5 + 8 + 7 + 8 + 8 + 561 + 9 + 54 = 666.

It is a super-2 number, since 2×3358788561954² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3615487762 + ... + 3615488690.

It is an arithmetic number, because the mean of its divisors is an integer number (16890576300).

Almost surely, 2^{3358788561954} is an apocalyptic number.

3358788561954 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3358788561954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864485974400).

3358788561954 is an abundant number, since it is smaller than the sum of its proper divisors (6370183386846).

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

3358788561954 is a wasteful number, since it uses less digits than its factorization.

3358788561954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1014 counting only the distinct ones).

The product of its digits is 870912000, while the sum is 72.

The spelling of 3358788561954 in words is "three trillion, three hundred fifty-eight billion, seven hundred eighty-eight million, five hundred sixty-one thousand, nine hundred fifty-four".