3575239295040 has 672 divisors, whose sum is σ = 14519663867904. Its totient is φ = 790170992640.

The previous prime is 3575239295029. The next prime is 3575239295053. The reversal of 3575239295040 is 405929325753.

3575239295040 is a `hidden beast` number, since 3 + 5 + 7 + 523 + 9 + 29 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1335538182 + ... + 1335540858.

Almost surely, 2^{3575239295040} is an apocalyptic number.

3575239295040 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 3575239295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7259831933952).

3575239295040 is an abundant number, since it is smaller than the sum of its proper divisors (10944424572864).

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

3575239295040 is a wasteful number, since it uses less digits than its factorization.

3575239295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4875 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 3575239295040 in words is "three trillion, five hundred seventy-five billion, two hundred thirty-nine million, two hundred ninety-five thousand, forty".