3575374321200 has 480 divisors, whose sum is σ = 12679664640000. Its totient is φ = 853946496000.

The previous prime is 3575374321139. The next prime is 3575374321291. The reversal of 3575374321200 is 21234735753.

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, 520353765 + ... + 520360635.

It is an arithmetic number, because the mean of its divisors is an integer number (26415968000).

Almost surely, 2^{3575374321200} is an apocalyptic number.

3575374321200 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 3575374321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339832320000).

3575374321200 is an abundant number, since it is smaller than the sum of its proper divisors (9104290318800).

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

3575374321200 is a wasteful number, since it uses less digits than its factorization.

3575374321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7481 (or 7470 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 42.

The spelling of 3575374321200 in words is "three trillion, five hundred seventy-five billion, three hundred seventy-four million, three hundred twenty-one thousand, two hundred".