3775552953120 has 384 divisors, whose sum is σ = 14236702663680. Its totient is φ = 928989941760.

The previous prime is 3775552953103. The next prime is 3775552953229. The reversal of 3775552953120 is 213592555773.

3775552953120 is a `hidden beast` number, since 3 + 7 + 7 + 55 + 52 + 9 + 531 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153922297 + ... + 153946823.

It is an arithmetic number, because the mean of its divisors is an integer number (37074746520).

Almost surely, 2^{3775552953120} is an apocalyptic number.

3775552953120 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 3775552953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7118351331840).

3775552953120 is an abundant number, since it is smaller than the sum of its proper divisors (10461149710560).

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

3775552953120 is a wasteful number, since it uses less digits than its factorization.

3775552953120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27305 (or 27291 counting only the distinct ones).

The product of its (nonzero) digits is 9922500, while the sum is 54.

The spelling of 3775552953120 in words is "three trillion, seven hundred seventy-five billion, five hundred fifty-two million, nine hundred fifty-three thousand, one hundred twenty".