3357742655520 has 144 divisors (see below), whose sum is σ = 12499960217472. Its totient is φ = 813998215680.

The previous prime is 3357742655513. The next prime is 3357742655539. The reversal of 3357742655520 is 255562477533.

3357742655520 is a `hidden beast` number, since 3 + 3 + 5 + 77 + 42 + 6 + 5 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3357742655520² (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 23 ways as a sum of consecutive naturals, for example, 105973512 + ... + 106005191.

It is an arithmetic number, because the mean of its divisors is an integer number (86805279288).

Almost surely, 2^{3357742655520} is an apocalyptic number.

3357742655520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3357742655520 is an abundant number, since it is smaller than the sum of its proper divisors (9142217561952).

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

3357742655520 is a wasteful number, since it uses less digits than its factorization.

3357742655520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211978735 (or 211978724 counting only the distinct ones).

The product of its (nonzero) digits is 26460000, while the sum is 54.

The spelling of 3357742655520 in words is "three trillion, three hundred fifty-seven billion, seven hundred forty-two million, six hundred fifty-five thousand, five hundred twenty".