3381167585628 has 36 divisors (see below), whose sum is σ = 9767817470320. Its totient is φ = 966047881536.

The previous prime is 3381167585617. The next prime is 3381167585639. The reversal of 3381167585628 is 8265857611833.

3381167585628 is a `hidden beast` number, since 3 + 3 + 8 + 1 + 1 + 67 + 5 + 8 + 562 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3381167585617) and next prime (3381167585639).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3381167585628² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6708665593 + ... + 6708666096.

Almost surely, 2^{3381167585628} is an apocalyptic number.

It is an amenable number.

3381167585628 is an abundant number, since it is smaller than the sum of its proper divisors (6386649884692).

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

3381167585628 is a wasteful number, since it uses less digits than its factorization.

3381167585628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13417331706 (or 13417331701 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 3381167585628 in words is "three trillion, three hundred eighty-one billion, one hundred sixty-seven million, five hundred eighty-five thousand, six hundred twenty-eight".