3357577542 has 48 divisors (see below), whose sum is σ = 7400356416. Its totient is φ = 1007172000.

The previous prime is 3357577541. The next prime is 3357577567. The reversal of 3357577542 is 2457757533.

It is a super-2 number, since 2×3357577542² = 22546653901085523528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3357577491 and 3357577500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3357577541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670773 + ... + 675759.

It is an arithmetic number, because the mean of its divisors is an integer number (154174092).

Almost surely, 2^3357577542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3357577542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700178208).

3357577542 is an abundant number, since it is smaller than the sum of its proper divisors (4042778874).

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

3357577542 is a wasteful number, since it uses less digits than its factorization.

3357577542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5205 (or 5104 counting only the distinct ones).

The product of its digits is 3087000, while the sum is 48.

The square root of 3357577542 is about 57944.6075316763. The cubic root of 3357577542 is about 1497.4144409280.

Subtracting from 3357577542 its reverse (2457757533), we obtain a square (899820009 = 29997²).

It can be divided in two parts, 33 and 57577542, that added together give a palindrome (57577575).

The spelling of 3357577542 in words is "three billion, three hundred fifty-seven million, five hundred seventy-seven thousand, five hundred forty-two".