3512643540 has 192 divisors, whose sum is σ = 11451568128. Its totient is φ = 787968000.

The previous prime is 3512643539. The next prime is 3512643557. The reversal of 3512643540 is 453462153.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6151455 + ... + 6152025.

It is an arithmetic number, because the mean of its divisors is an integer number (59643584).

Almost surely, 2^3512643540 is an apocalyptic number.

3512643540 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 3512643540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725784064).

3512643540 is an abundant number, since it is smaller than the sum of its proper divisors (7938924588).

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

3512643540 is a wasteful number, since it uses less digits than its factorization.

3512643540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 3512643540 is about 59267.5589171682. The cubic root of 3512643540 is about 1520.1205381094.

The spelling of 3512643540 in words is "three billion, five hundred twelve million, six hundred forty-three thousand, five hundred forty".