3362417952 has 48 divisors (see below), whose sum is σ = 8829559872. Its totient is φ = 1120398080.

The previous prime is 3362417921. The next prime is 3362417959. The reversal of 3362417952 is 2597142633.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3362417952² = 22611708967863748608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3362417959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380302 + ... + 389042.

It is an arithmetic number, because the mean of its divisors is an integer number (183949164).

Almost surely, 2^3362417952 is an apocalyptic number.

3362417952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3362417952 is an abundant number, since it is smaller than the sum of its proper divisors (5467141920).

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

3362417952 is a wasteful number, since it uses less digits than its factorization.

3362417952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12761 (or 12753 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 3362417952 is about 57986.3600513086. The cubic root of 3362417952 is about 1498.1336717312.

The spelling of 3362417952 in words is "three billion, three hundred sixty-two million, four hundred seventeen thousand, nine hundred fifty-two".