3342153540 has 192 divisors, whose sum is σ = 10559953152. Its totient is φ = 782745600.

The previous prime is 3342153491. The next prime is 3342153541. The reversal of 3342153540 is 453512433.

3342153540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3342153540² = 22339980569869063200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3342153498 and 3342153507.

It is not an unprimeable number, because it can be changed into a prime (3342153541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3057234 + ... + 3058326.

It is an arithmetic number, because the mean of its divisors is an integer number (54999756).

Almost surely, 2^3342153540 is an apocalyptic number.

3342153540 is a gapful number since it is divisible by the number (30) 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 3342153540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279976576).

3342153540 is an abundant number, since it is smaller than the sum of its proper divisors (7217799612).

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

3342153540 is a wasteful number, since it uses less digits than its factorization.

3342153540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 3342153540 is about 57811.3616860907. The cubic root of 3342153540 is about 1495.1179856399.

Adding to 3342153540 its reverse (453512433), we get a palindrome (3795665973).

The spelling of 3342153540 in words is "three billion, three hundred forty-two million, one hundred fifty-three thousand, five hundred forty".