3365542432 has 96 divisors (see below), whose sum is σ = 7719207552. Its totient is φ = 1414692864.

The previous prime is 3365542429. The next prime is 3365542451. The reversal of 3365542432 is 2342455633.

It is a super-2 number, since 2×3365542432² = 22653751723184949248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3365542391 and 3365542400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2918368 + ... + 2919520.

It is an arithmetic number, because the mean of its divisors is an integer number (80408412).

Almost surely, 2^3365542432 is an apocalyptic number.

3365542432 is a gapful number since it is divisible by the number (32) 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 3365542432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859603776).

3365542432 is an abundant number, since it is smaller than the sum of its proper divisors (4353665120).

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

3365542432 is a wasteful number, since it uses less digits than its factorization.

3365542432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1402 counting only the distinct ones).

The product of its digits is 259200, while the sum is 37.

The square root of 3365542432 is about 58013.2953037491. The cubic root of 3365542432 is about 1498.5975680131.

The spelling of 3365542432 in words is "three billion, three hundred sixty-five million, five hundred forty-two thousand, four hundred thirty-two".