3534002640 has 240 divisors, whose sum is σ = 14032137600. Its totient is φ = 779885568.

The previous prime is 3534002629. The next prime is 3534002651. The reversal of 3534002640 is 462004353.

It is an interprime number because it is at equal distance from previous prime (3534002629) and next prime (3534002651).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134071 + ... + 158249.

It is an arithmetic number, because the mean of its divisors is an integer number (58467240).

Almost surely, 2^3534002640 is an apocalyptic number.

3534002640 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 3534002640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7016068800).

3534002640 is an abundant number, since it is smaller than the sum of its proper divisors (10498134960).

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

3534002640 is a wasteful number, since it uses less digits than its factorization.

3534002640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24234 (or 24225 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3534002640 is about 59447.4779952859. The cubic root of 3534002640 is about 1523.1954130227.

Adding to 3534002640 its reverse (462004353), we get a palindrome (3996006993).

The spelling of 3534002640 in words is "three billion, five hundred thirty-four million, two thousand, six hundred forty".