3534152440 has 384 divisors, whose sum is σ = 10859184000. Its totient is φ = 1021870080.

The previous prime is 3534152429. The next prime is 3534152441. The reversal of 3534152440 is 442514353.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3534152441) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 17759461 + ... + 17759659.

It is an arithmetic number, because the mean of its divisors is an integer number (28279125).

Almost surely, 2^3534152440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3534152440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429592000).

3534152440 is an abundant number, since it is smaller than the sum of its proper divisors (7325031560).

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

3534152440 is a wasteful number, since it uses less digits than its factorization.

3534152440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 3534152440 is about 59448.7379176379. The cubic root of 3534152440 is about 1523.2169345544.

Adding to 3534152440 its reverse (442514353), we get a palindrome (3976666793).

The spelling of 3534152440 in words is "three billion, five hundred thirty-four million, one hundred fifty-two thousand, four hundred forty".