3755274199920 has 240 divisors, whose sum is σ = 12846138196320. Its totient is φ = 982943963136.

The previous prime is 3755274199907. The next prime is 3755274199979. The reversal of 3755274199920 is 299914725573.

3755274199920 is a `hidden beast` number, since 3 + 7 + 5 + 527 + 4 + 19 + 9 + 92 + 0 = 666.

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

It is a super-2 number, since 2×3755274199920² (a number of 26 digits) contains 22 as substring.

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, 8173762 + ... + 8620958.

It is an arithmetic number, because the mean of its divisors is an integer number (53525575818).

Almost surely, 2^{3755274199920} is an apocalyptic number.

3755274199920 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 3755274199920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6423069098160).

3755274199920 is an abundant number, since it is smaller than the sum of its proper divisors (9090863996400).

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

3755274199920 is a wasteful number, since it uses less digits than its factorization.

3755274199920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447432 (or 447423 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 3755274199920 in words is "three trillion, seven hundred fifty-five billion, two hundred seventy-four million, one hundred ninety-nine thousand, nine hundred twenty".