3462345936 has 240 divisors, whose sum is σ = 11851991424. Its totient is φ = 921010176.

The previous prime is 3462345883. The next prime is 3462345941. The reversal of 3462345936 is 6395432643.

3462345936 is a `hidden beast` number, since 34 + 6 + 23 + 4 + 593 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3462345891 and 3462345900.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1661151 + ... + 1663233.

Almost surely, 2^3462345936 is an apocalyptic number.

3462345936 is a gapful number since it is divisible by the number (36) 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 3462345936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925995712).

3462345936 is an abundant number, since it is smaller than the sum of its proper divisors (8389645488).

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

3462345936 is a wasteful number, since it uses less digits than its factorization.

3462345936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2209 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The square root of 3462345936 is about 58841.7023547076. The cubic root of 3462345936 is about 1512.8300850598.

The spelling of 3462345936 in words is "three billion, four hundred sixty-two million, three hundred forty-five thousand, nine hundred thirty-six".